{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 8.2. Predicting who will survive on the Titanic with logistic regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import sklearn\n",
    "import sklearn.linear_model as lm\n",
    "import sklearn.model_selection as ms\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "train = pd.read_csv('https://github.com/ipython-books'\n",
    "                    '/cookbook-2nd-data/blob/master/'\n",
    "                    'titanic_train.csv?raw=true')\n",
    "test = pd.read_csv('https://github.com/ipython-books/'\n",
    "                   'cookbook-2nd-data/blob/master/'\n",
    "                   'titanic_test.csv?raw=true')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "podoc": {
     "output_text": "Output"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAkMAAAGCEAAAAACWnkSIAAAJJGlDQ1BpY2MAAHjalZVnUJNZF8fv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\nYmogPDwgnjB4xQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "Output"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "train[train.columns[[2, 4, 5, 1]]].head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "podoc": {
     "output_text": "Output"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlAAAAGCEAAAAABaB35jAAAJJGlDQ1BpY2MAAHjalZVnUJNZF8fv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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "Output"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data = train[['Age', 'Pclass', 'Survived']]\n",
    "# Add a 'Female' column.\n",
    "data = data.assign(Female=train['Sex'] == 'female')\n",
    "# Reorder the columns.\n",
    "data = data[['Female', 'Age', 'Pclass', 'Survived']]\n",
    "data = data.dropna()\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "data_np = data.astype(np.int32).values\n",
    "X = data_np[:, :-1]\n",
    "y = data_np[:, -1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# We define a few boolean vectors.\n",
    "# The first column is 'Female'.\n",
    "female = X[:, 0] == 1\n",
    "\n",
    "# The last column is 'Survived'.\n",
    "survived = y == 1\n",
    "\n",
    "# This vector contains the age of the passengers.\n",
    "age = X[:, 1]\n",
    "\n",
    "# We compute a few histograms.\n",
    "bins_ = np.arange(0, 81, 5)\n",
    "S = {'male': np.histogram(age[survived & ~female],\n",
    "                          bins=bins_)[0],\n",
    "     'female': np.histogram(age[survived & female],\n",
    "                            bins=bins_)[0]}\n",
    "D = {'male': np.histogram(age[~survived & ~female],\n",
    "                          bins=bins_)[0],\n",
    "     'female': np.histogram(age[~survived & female],\n",
    "                            bins=bins_)[0]}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "podoc": {
     "output_text": "<matplotlib.figure.Figure at 0x5adbda0>"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAACusAAAQJCAYAAADFZqfLAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAAAA8JL/B9ctEStpMmf3AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x5adbda0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# We now plot the data.\n",
    "bins = bins_[:-1]\n",
    "fig, axes = plt.subplots(1, 2, figsize=(10, 3),\n",
    "                         sharey=True)\n",
    "for ax, sex, color in zip(axes, ('male', 'female'),\n",
    "                          ('#3345d0', '#cc3dc0')):\n",
    "    ax.bar(bins, S[sex], bottom=D[sex], color=color,\n",
    "           width=5, label='survived')\n",
    "    ax.bar(bins, D[sex], color='k',\n",
    "           width=5, label='died')\n",
    "    ax.set_xlim(0, 80)\n",
    "    ax.set_xlabel(\"Age (years)\")\n",
    "    ax.set_title(sex + \" survival\")\n",
    "    ax.grid(None)\n",
    "    ax.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# We split X and y into train and test datasets.\n",
    "(X_train, X_test, y_train, y_test) = \\\n",
    "    ms.train_test_split(X, y, test_size=.05)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "# We instanciate the classifier.\n",
    "logreg = lm.LogisticRegression()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "logreg.fit(X_train, y_train)\n",
    "y_predicted = logreg.predict(X_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "podoc": {
     "output_text": "<matplotlib.figure.Figure at 0x8f5d160>"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAACUEAAAFQCAYAAACbRy1KAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAAuIwAALiMBeKU/dgAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4wLCBo\ndHRwOi8vbWF0cGxvdGxpYi5vcmcvpW3flQAAIABJREFUeJzs3WdYFcfbBvCbonSwixXUiB0rICAi\n9hgLNoJGRbHHlqiJRlP8G2ssUYkmGhW72DBqVEDsIjZsKAoaBWNBRaWD1PcDF7yJ4eyesgscuH/X\nlQ9x9swOp+zOzjzzjE58fHwuiIiIiIiIiIiIiIiIiIiIiIiItJRucTeAiIiIiIiIiIiIiIiIiIiI\niIhIEwyCIiIiIiIiIiIiIiIiIiIiIiIircYgKCIiIiIiIiIiIiIiIiIiIiIi0moMgiIiIiIiIiIi\nIiIiIiIiIiIiIq3GICgiIiIiIiIiIiIiIiIiIiIiItJqDIIiIiIiIiIiIiIiIiIiIiIiIiKtxiAo\nIiIiIiIiIiIiIiIiIiIiIiLSagyCIiIiIiIiIiIiIiIiIiIiIiIircYgKCIiIiIiIiIiIiIiIiIi\nIiIi0moMgiIiIiIiIiIiIiIiIiIiIiIiIq3GICgiIiIiIiIiIiIiIiIiIiIiItJqDIIiIiIiIiIi\nIiIiIiIiIiIiIiKtxiAoIiIiIiIiIiIiIiIiIiIiIiLSagyCIiIiIiIiIiIiIiIiIiIiIiIircYg\nKCIiIiIiIiIiIiIiIiIiIiIi0moMgiIiIiIiIiIiIiIiIiIiIiIiIq3GICgiIiIiIiIiIiIiIiIi\nIiIiItJqDIIiIiIiIiIiIiIiIiIiIiIiIiKtxiAoIiIiIiIiIiIiIiIiIiIiIiLSagyCIiIiIiIi\nIiIiIiIiIiIiIiIircYgKCIiIiIiIiIiIiIiIiIiIiIi0moMgiIiIiIiIiIiIiIiIiIiIiIiIq3G\nICgiIiIiIiIiIiIiIiIiIiIiItJqDIIiIiIiIiIiIiIiIiIiIiIiIiKtxiAoIiIiIiIiIiIiIiIi\nIiIiIiLSagyCIiIiIiIiIiIiIiIiIiIiIiIircYgKCIiIiIiIiIiIiIiIiIiIiIi0moMgiIiIiIi\nIiIiIiIiIiIiIiIiIq3GICgiIiIiIiIiIiIiIiIiIiIiItJqDIIiIsllZWWhQoUKCv9btmxZcTeR\nSCOPHj0S/I7v2bOnuJtIVGps3rxZ8Pf28uXLElk3UXGLiooS/H4fOHCguJtIVCalp6cL/jZ//vnn\n4m4iSczb21vh521nZ1fczSMiIiKiEmDevHkcoyIiIpIIg6CIiIiIiIiIiIiIiIiIiIiIiEir6Rd3\nA+SQnp6OVatWITc3V/A4JycnuLq6FlGriIiIiIiIiIiIiIiIiIiIiIhIDqUyCOrw4cNYsmSJ6HEt\nW7bE2bNni6BFREREREREREREREREREREREQkl1K5Hd6OHTuUOu7WrVsIDw+XuTVERERERERERERE\nRERERERERCSnUhcEFRMTg/Pnzyt9vLIBU/T/xo0bhwoVKhT6X+XKlYu7eURERESkpqioKIX9vAoV\nKuDnn38u7iYSERER0QfYhyMiIlJfcHCw4H30wIEDxd1EKmO8vb0Vfh+rV69e3M0jmfGaREWlND9H\nlrogqJ07dyI3N1fp4/ft24eMjAwZW0RERERERERERERERERERERERHIqVUFQubm52L17t0qvefv2\nLY4dOyZTi4iIiIiIiIiIiIiIiIiIiIiISG6lKgjqzJkz+Pvvv1V+HbfEIyIiIiIiIiIiIiIiIiIi\nIiLSXqUqCErdYKZTp07h2bNnEreGiIiIiIiIiIiIiIiIiIiIiIiKgn5xN0Aq8fHxOHr0qFqvzcnJ\nwe7duzFz5kyJW0VEREREJZW3tze8vb2LuxlERFSGGBoaIj4+vribQUREREREREREVCqVmkxQ+/bt\nQ3p6usJyV1dXwdfv2rVL6iYREREREREREREREREREREREVERKDVBUGJb4c2bNw8tW7ZUWP7o0SOE\nhIRI3SwiIiIiIiIiIiIiIiIiIiIiIpJZqQiCCg8Px61btxSWN2rUCK1bt8aQIUME6xELpCIiIiIi\nIiIiIiIiIiIiIiIiopKnVARBbd++XbA8P/hp8ODBKFeunMLjDh8+jKSkJEnbRkRERERERERERERE\nRERERERE8tL6IKiMjAzs379fYbmuri48PDwAAJUrV0a3bt0UHpuSkoKDBw9K3kYiIiIiIiIiIiIi\nIiIiIiIiIpKPfnE3QFNHjx7F27dvFZZ37NgRNWvWLPj/IUOG4NixYwqP37FjB0aMGCFpG4mIiEqz\nnJwcxMTEIDo6GomJiUhJSYGBgQHMzMxgbW2N+vXrQ19f67scRERUgqWmpuLx48dITExEYmIikpKS\n8P79exgZGcHIyAjGxsawsLBAnTp1ULly5eJuLhERERFRiZKbm4uYmBjExcUhKSkJiYmJSE5ORvny\n5WFoaAhjY2OYmJigRo0aqFWrFsd5iIioVPr777/x+vXrgvGl5ORk6OnpFYwtGRsbw9LSErVq1YKB\ngUFxN7dMSUxMRExMzL/G/rKysgrG/oyMjFCxYkXUrVsXFSpUKO7mUjHT+p7qjh07BMvzt8LL16NH\nD1SqVElh4NSVK1cQFRUFGxsbydooldTUVISFhSEsLAwRERF48uQJnj59iqSkJKSlpSEnJwempqYw\nMzODubk56tevj0aNGsHGxgZ2dnaoV69ecf8JpIGEhATcvHkTUVFRiIqKwsOHDxEbG4ukpCQkJSUh\nOTkZ+vr6MDQ0hIWFBWrWrIm6deuiRYsWaN26NRwcHAS3gyTVZWdn486dO7h//z4ePHiAqKioghtw\n/ueSnZ0NQ0NDmJiYoHr16qhZsyaaNm0KW1tbODs7o2rVqsX9ZygtJSUFJ0+exIULF3Dv3r2CicaU\nlBSUL18eZmZmqF27Nj766CM4ODiga9eusLKyKu5mAwCeP3+O4OBghISEICoqquDamZ2dDVNTU1hY\nWKBBgwZo3LgxXFxc0KlTJxgaGhZ3s0u02NhY+Pv7IyAgAFevXkVaWprCYw0MDODo6IiePXvC09Oz\nxHdAo6KicPLkSYSHh+Ovv/4q+L6kpqaiXLlyqFChAurWrQtPT0+MGjVKsvOmpaUhLCwMV65cQURE\nBGJiYvDs2TMkJycjNTUVurq6MDY2RqVKlWBlZQUbGxs4ODigQ4cOqFatmmTt0NSdO3cQHByMsLAw\nREVF4dWrVwUPi2ZmZqhcuTJsbGzQtGlTdOnSBe3atYOOjk5xN7tEePToEa5evYrr168jOjoaT548\nwevXr5GWlob09HQYGhoW9PWqVatW0M9r2rQpHBwcyux1KycnB3fu3MGVK1dw48YNxMTE4MmTJ0hM\nTERaWhqys7NhbGwMc3Nz1KlTB/Xr14ednR2cnZ3RsGHD4m5+gWfPniE4OBgXL15EZGQknj59iuTk\n5IJ7VYUKFf51r3J1dS2znzkAvH37FgcPHkRoaCjCw8Px4MED5OTkKPVaExMT1KlTp+A5qW3btmjd\nujWMjIxkbnXZ9P79e4SGhuL8+fOIjIzEo0ePEBcXh5SUFKSnp8PExARVq1aFtbU1li9fzudWEpWd\nnY3w8HDcv38fDx8+RFRUVEEwfnJyckE/P3+Qunr16qhVq1bBc1iHDh0YDCmz6OhohIaG4urVq3j0\n6BFiYmIQHx+P1NTUgvty/vOjlZUVWrVqBScnJ9ja2kJXV+uT1pMKtK3/m5WVhevXr+PSpUu4ffs2\noqOj8ezZM6SkpCAlJQXlypWDsbExKlasCCsrKzRo0AAODg5wcnL61yLdkuzFixcICgrCtWvXEBkZ\nib///hvJyclIS0sr6JPa2Nigbdu26Nq1K9q2bSvJeR8/foyAgADcunULd+/eRVxcHBITE/H+/fuC\nycYGDRrA0dERPXr0QKNGjSQ5r1RiY2Nx+fJlXLlyBQ8fPvzXdzktLa0giKhGjRqwtraGra0tHBwc\n0L59e5QvX75Y2pydnY3Tp08jMDAQ4eHhuHPnDpKTk5V6rZ6eHmrUqIF69eqhTZs2aNu2Lezs7FCj\nRg2ZW118YmNjcfHiRVy+fBl//fUXYmJi8ObNG6SmpiIzM7MgSKxWrVqwsrKCra0t2rdvj7Zt22rN\nmPy9e/cQGBiI27dv4/79+3j9+nXBBLOxsTGqVq1acN92dnZGx44dteZvKwtyc3Nx48YNBAUF4c6d\nO4iKisKbN2+QlJQEADAyMoKlpSWsra3Rpk0buLi4oH379iWu7xUVFYVLly79q2+Q34/M/62Zmpqi\nTp06sLa2Rtu2beHo6AhbW9vibnqZ9/bt24J7Yf5c2atXr5CamorU1FQYGBgUPJ9ZWVmhWbNmaN++\nPRwdHWFiYlJs7Q4NDcXRo0dx69YthIeHIz4+XqnX6ejowNLSsuC62K5dO7Rr1w7W1tbyNrgMef78\nOQ4cOICrV68iPDwc0dHRyM3NVeq15ubmqF27Npo1a1bw2bRo0aJY+l3a2E8sDXTi4+OV+7aUQM+e\nPUOLFi0UDnabmpoiKioKxsbG//r3r776Cr///rvCeqdOnYr58+dL2lZ1ZWZm4vDhwzhw4ABOnz4t\nOMksxsrKCp07d0avXr3QpUsX0c7No0eP0KZNG7XPp465c+fiq6++Ejxm27ZtmDp1qsLyu3fvolat\nWlI3rcjPnZ6ejnPnzuH8+fO4cOECbt++jezsbLXrMzMzQ7du3eDl5QVXV1dJ2qhIVlYWqlSporBc\nmc+5pAoPD8eZM2dw4cIFhIaGIjExUe26dHR00KZNGwwdOhQeHh4wMzOTsKX/1bRpUzx//rzQMldX\nVxw6dKjQsnv37mHNmjU4ePAg0tPTVTqno6Mjpk6dio8//ljl9krh9OnTWLduHYKDg5XuHAGAsbEx\nBg8ejClTpuCjjz76T7nY9XH9+vX49NNP1WpzURo3bhz27t1baJmenh7evHnzn39/+vQpli5dij17\n9iAjI0PlcxoZGWH48OH45ptvULFiRZVfL+bMmTNwd3dXWK7os4mPj8f27dvh6+uLR48eKXWu4cOH\nw8fHR+22AnkDFCdOnMCePXsQEBCAlJQUlevQ1dVFhw4dMHz4cAwYMAB6enoatUkdWVlZ2LlzJ9av\nX4+IiAiVXmtpaYkxY8ZgzJgxhQbIbd68GdOnT1f4+sjISFSvXl3lNstdt7IePnyIHTt24MiRI/jr\nr7/UrsfQ0BCOjo7o3LkzBg0apNTgs7e3N/z9/dU+p6oMDAzw8uVLyeoLDw/Hjh07cOjQIcTGxqpV\nR9OmTfHpp59i1KhRMDc3l6xtqjh16hTWrVuHkydPqnSvMjExgYeHB6ZMmYL69ev/pzwqKgr29vYK\nX79p0yYMHDhQrTYXp7Nnz2LDhg0ICgpCZmamZPWWL18ebm5ucHd3R69evWBhYaFyHcV5TZHz3ELX\nCqHf9e3bt7Fhwwb4+/sjNTVVqXOdOHECdnZ2SE9PR6NGjZCQkFDocYaGhoiMjFTrc1KXUL8JADZs\n2AAPDw/RetLT02Fpaamw/IcffsCXX36pVD2l9T0qzO3bt3H27FlJnsN0dXX/9Rxmamqqdl3KEPoN\nNWzYEFevXpX1/EUlMTER27Ztw759+3Dr1i216qhZsyb69++P0aNHF3pvk4JUv8HiPLe29+GKs/+r\nrjt37sDX1xd//PFHoc/JYnR0dGBvbw8PDw8MHTpU1sBrGxsbvHr1qtCyLl264MCBA//599zcXAQG\nBsLHxwcXL15UqU/atGlTfPnllxg8eLDKbc3Ozsa+ffuwfv163LhxQ6XXOjg4YM6cObKPcQqJj4/H\nrl27cPDgQbWv5RUqVEDfvn0xbtw4NG/eXOIWFu7ly5fw8fHB/v371X6OUqRJkyZwd3eHu7t7iQtU\nU0d6ejr27NkDPz8/XLp0SaXfRr6KFSuiX79+GDVqFFq2bClDK/OIPQ/k97M/lJ6eDj8/P6xbtw5R\nUVEqnbNixYrw8vLCpEmTtGqhb9euXXHt2rUiO5+y/b158+Zh1apVCssVPdMlJiZiy5Yt2LBhA54+\nfapS22rUqIGxY8dizJgxxTYmAuQFwm7fvh3+/v6Ijo5Wqw5ra2sMGjQI48aNK1GLRcWIjd3IQcr+\nblpaGvbt24cDBw7gwoULas1hmpiYoGfPnhgzZgwcHR0laZeYhIQE/Prrr/Dz81P7O6eIlZUV3N3d\n0b9/f7Rq1Ur0+JJ6TSpOhw8fxubNm3Hu3DmlFzwqw8TEBN27d4e7uzu6d+8ua5+8JPYTtf05UlUl\nK8RXRbt27RL88vft2/c/AVDAf7NDfWjPnj3IysrSuH2ayMjIgI+PD1q2bInRo0fj2LFjGgVAAUBM\nTAx8fX0xePBg2NraYunSpXj9+rVELSYpZGRkICAgAOPGjUPDhg3h4eEBHx8f3LhxQ6MAKABISkqC\nv78/+vXrB1dXV5w9e1aiVpd+9+7dw8KFC9G2bVu4uLjgu+++Q2BgoEYD70DeIFNYWBhmzJiB5s2b\nY9WqVSoHGckpISEBX375JZycnLB792612hYaGoohQ4agf//+ePLkiQytLFx0dDQGDx6M/v3748SJ\nEyoPUqSmpmLr1q2wt7fH3LlzlZ64K+22bdsGJycnbN++Xa0AKCDvwWjDhg1o3bq1wsC7opSTk4NN\nmzahVatW+O6775QOgJKCv78/nJyc4OHhgQMHDqgVAAXk/Q3nzp3D2LFj0bZt2yJ/X8+ePQsnJydM\nmzZN5QAoIG8lxIIFC9CyZUvRDJ+lya1bt/Dpp5/Czs4Oq1at0mgCCMgbuDx9+jS+++47tGjRAp99\n9hlOnTolUWtLluvXr2PQoEFwcXHB+vXrNRq4j4iIwA8//IDmzZtjxYoVkgbViImOjsbAgQMxYMAA\nlYN1gbwMjb6+vrCzs8N3332n8bNCSffixQt4e3ujX79+OHr0qOSfVUZGBgIDAzFx4kR06NBB0rrL\nmtjYWIwdOxYdO3bEjh071OpHGRoaon///grL09PTcfDgQU2aqZKkpCT8+eefCsvNzMzQu3fvImsP\nUDbeo4iICCxYsABt2rRBx44dJXsOy8nJwbVr1zB9+nQ0b94ca9aswfv37zWqsyxLT0/HkiVL0Lx5\nc3z77bdqB0ABeSt9165dCzs7O4wbNw7Pnj2TsKVU3LSx//vgwQMMGTIELi4u2LRpk1oBUEDe+M/l\ny5cxY8YM2NraYu3atRqP80nlwYMH6NWrFzw9PRESEqJynzQiIgJjx45F79698ffffyv9uvPnz8PR\n0RETJkxQOQAKAC5fvox+/fph/PjxBVlOikp8fDy+//57tGjRAnPmzNFoIjE+Ph7btm2Di4sLhg4d\nKvlE7D9lZ2dj/fr1sLOzwy+//CJ5ABSQN4a6ePFiODg44Pz585LXX1Ty36uWLVti2rRpCA0NVSsA\nCgDevXuHLVu2wNXVFR4eHoiMjJS4teoLCgqCnZ0dvvjiC5UDoIC8v23VqlVo27Yttm7dKkMLSczu\n3bvRqlUrfP/99yoHQAF5z9nz58+Hvb09jh49KkMLhT148ACjRo1Cu3btsHLlSo2ugdHR0Vi+fDls\nbW3x7bffKp3ZjtSTnp6OFStWoEWLFpg6dSrOnj2rdt8mJSUFBw4cwMcff4xPPvkE4eHhErf23/bt\n2wd7e3ssWbJElvtuTEwMVq9ejU6dOmHnzp2S11+aPXz4EO7u7hgxYgTOnDkjaQAUkPddO3jwILy8\nvDBo0CBJ686nrf3E0khrg6Byc3Oxa9cuwWM8PT0L/fc2bdoIrkR4+fIlgoKCNGqfJk6ePIn27dvj\nu+++U5i1RVNPnz7F4sWLi3RQlMTZ2dnB09MTe/fulfUB/tatW+jXrx+++OILBneIWLp0KRwdHbFs\n2TKNB+iEJCQkYN68eXBzc8OdO3dkO4+ybt68CScnJ/j6+qr9kP9Pp0+fhpubGy5duiRB64QdPnwY\nHTt2xIkTJzSuKycnB2vXrkWnTp3KdAcjJycHX3/9NaZOnarxpFO++Ph4eHl54ZtvvpHkO6ZuG/r3\n748ZM2YoneZWCo8ePULfvn3h7e2Ne/fuSVp3dHQ0vLy88Nlnn8n+N+Xk5GD+/Plwd3dXa7DsQwkJ\nCZg8eTK8vLxKVECo1BITEzFt2jS4ubkhMDBQlu9/VlYWjh49igkTJkhed3FKSkrC9OnT0bVrVwQH\nB0tad2JiIn788Ue4uLhI/rsszB9//IGOHTvi5MmTGteVnZ0NHx8fuLm5FWnAcVEKDg6Gg4NDka1W\nKimTktro7NmzaN++Pfbt26dxXUOHDhUs3717t8bnUNYff/wh+Nzk7u5e6AIsuZXm92jhwoVwcnLC\n8uXLZQ1Szx+gdHNzUyuYu6y7fPkynJ2dsWTJEsmeE4C86/DevXvRvn17bN68WbJ6qXhoY/83NzcX\nK1asQIcOHXD8+HFJ2/z69WvMnTu3RFx3/P394eLigtDQUI3runDhArp16yYa0JSTk4MFCxagX79+\nkjxH7tmzB7169VKY/Upq+/fvh729PdasWSPp2G1ubi6OHTsGJycnbNy4UbJ687158waffPIJZs2a\nJen1Woi29qkjIyPRtWtXzJo1S/LsBUFBQXBxccHSpUsln9hVRVZWFmbOnAkPDw+VghcVyb/OT5o0\nqdiTC5QVKSkpGDZsGCZOnIi3b99qXF9sbCw+++wzLFy4UILWicvMzMSCBQvg7OyMgwcPSnq9SE9P\nxy+//IL27dsjJCREsnrp/50+fRqOjo748ccfERcXJ2ndISEhcHNzw8KFCyW/TqampmLYsGEYO3Zs\nkWWn0dZ7YXHYuXMnnJyccObMmSI5nxyfjbb2E0srrQ2CunDhAh4/fqywvHbt2nBxcVFYLpYNqjgy\nEWRlZeH777/HoEGDijQTBZUcRb1yacuWLejTp48kHeXSqqg/k3v37qF79+6STIqqKzAwEL169ZJ8\n1e2bN28waNAghIWFSVrvP/3+++/w8vKSfEAnKioK3bt3L/YByuIybdo0bNiwQZa6f/31V4wfP77I\nB39evHiBLl26FHlWvCNHjqBTp044d+6crOc5evQo3Nzc8ODBA1nqz8zMxJgxY7By5UrJJzEOHToE\nd3d3tTNjlWQ3btxAx44dsXXr1mId8NRG9+/fR+fOnbF582ZZ37v79++jW7dusq6A/O233zBq1CjJ\n71X3799H9+7dS9TKYikEBATA09OzyCZrSH1+fn4YOHCgZEG49vb2aNiwocLyy5cvy7pI4Z/EgonE\ngpHkUprfo6J+DouIiED37t2LbMC1NNi6dSt69+4t63csPwB60qRJameipeKljf3fpKQkDBkyBD/+\n+KOsWeJu376N7t2748iRI7KdQ8ivv/6K0aNHS7oAJTY2VnCRTHZ2NsaPH4/ly5dL+n0IDw/HwIED\nZc368f79e0ydOhVjxoyRNeAqNTUVM2fOxOeffy5ZMMm7d+/wySefFMnCRG13/PhxdO3aVa3sZMrK\nyMjA4sWL8emnnyrc1lhOqampGDx4sCyTqDt37sTnn39ebIsdy4q4uDj07NlTMAurupYtW4b58+dL\nXu8/PXv2DL169cLy5ctl7d89ffoU/fr1Y0C9hHJycrBw4UIMGDBAcH5eU1lZWVi2bBk8PDwku7e/\nf/8eHh4esvxuSHObNm3S6mc+be4nlmZaGwQlFqTk6ekJHR0dheUeHh7Q1VX85wcFBRXpVnFpaWkY\nOnQo1qxZw04iFamwsDD07duX6UFLkNTUVHh6esoeJFGYc+fOYcSIEbJlCEtOTsawYcPUTiEvxNfX\nF1999ZVs19BXr17Bw8OjyFYXlhSrVq3C9u3bZT3H3r178c0338h6jn9KSEjAoEGDimxSMN+6desw\nfPjwIpvIf/z4MXr37i3J6tp/ys3Nxbhx42TNyHLp0iWMHj1aayZKlJEfYFqWs8qp6+LFi+jWrZts\nQX0fSk5OhpeXlyxbS/7++++YPXu2bPeq2NhYeHh4lJotrx88eABvb28+2GuBoKAgTJ48WfLPSmzx\nUlFkOoqOjhbMkFG/fn04OjrK3g5F+B5JJzk5GR4eHlwxrgQfHx9MmzatyLaR3blzJ4YPH661g+Jl\nlTb2f5OSkjBw4EAEBAQUyfny+51+fn5Fcr58e/fuxZw5c2TpkyYkJBQawJ6bm4uxY8dKki2yMOHh\n4fjyyy9lqTspKQn9+/fHtm3bZKm/MLt27cKYMWM07lvl5ubC29sb9+/fl6hlpZe/vz+GDRtWZIHY\nJ06cQP/+/Ys0ECozMxMjRozA6dOnZTvH3r17sWbNGtnqL+sSEhIwYMAAWbcLW7lypWw7yERGRqJL\nly4abQ+liqysLEyfPh3r1q0rkvOVZllZWfD29sayZcuKbA47ODgYgwcPlmTucubMmbhw4YIErSKp\nhYSE4KuvviruZqhNm/uJpZ1+cTdAHYmJiaKrZBRthZevZs2a6NSpk8K94rOysuDn54cpU6ao3U5l\nvX//HoMGDVJpoE1PTw/NmjVD8+bNUbduXVhYWMDQ0BBJSUmIj4/Hu3fvcP/+fYSHhzO4pZSxtLRE\ns2bNYGVlBXNz84L/srOzkZiYiMTERDx8+BC3bt1SejvFO3fuYMKECcWSAa00MDExQePGjdGoUSNU\nqFCh4DPJ/00mJibixYsXuHXrFiIjI5W6MeU/lJ49exZWVlZF8FcAf/31Fz777DOFKx11dXXRunVr\n2NraonLlyqhatSqysrIQFxeHx48f4/Tp00o9uL948QIzZ86Er6+vZG0/efIkZs6cqfTxVlZWcHJy\nwkcffQQLCwvk5uYiPj4eDx48wMWLFxXuof706VN4eXnhl19+karpJdrNmzfx448/Kix3dnZGnz59\nYGdnh/r168PMzAyZmZmIi4vD/fv3cfbsWRw4cAAvXrwQPdf69evRtGlTeHl5SfknFGrKlCm4e/eu\nwvJq1arBwcEBH330EapWrQojIyOkpaXh7du3uH//Pi5evKhyBj0fHx989913Sh9vZmYGe3t7NGjQ\nABUrVkSlSpWQnZ2NuLg4xMbG4uLFi0pNJrx8+RIDBgzAmTNnUKVKFZXarMj8+fOVHgzR0dFBq1at\n0KZNG1hbW8PExAQZGRl4/fp1NAkeAAAgAElEQVQ1IiIiEBISojAoLCAgAEuXLkX16tUlaXdxOnLk\nCEaNGqXSg0mVKlXQrl071KtXDzVr1oSRkRGys7MRHx+P+Ph4xMbG4saNG1o1qaSOkJAQeHh4KJ0Z\nrFy5cmjZsiVsbW1RqVIlVKhQAQYGBoiLi0NcXBzCwsJw69Yt0QGbrKwsjBkzBtWqVZNs4j4oKAiz\nZ89W+nhra2s4Ojr+61717t07PHz4ECEhIQozNsbExMDb2xvLly+XpN3FaerUqUoFZltaWsLNzQ2O\njo6oX78+rKysYGZmBmNjY+jo6BT0kRMSEvDo0SNEREQgIiICN2/elG378bLkyZMngoMvurq6aNq0\nKVq3bg0rKytYWFhAT08PycnJ+Pvvv3Hnzh1cuXKl0FTknp6eWLBggcKgWD8/P8ydO1dwAZSm/Pz8\nBK8ZYkFIcivL75GJiQmaNGkCGxsbweewmzdvIjIyUql09xkZGRg+fDjOnTuH2rVry9JubbdlyxaV\n+rXVqlWDs7MzbGxsUKlSJZQrVw6JiYl4/Pgxrl69qnS23cDAQIwZMwZbt26V9ftM0tDG/m9mZiY8\nPT1x5coVpY7X0dFBixYt0KZNG9SrV6/gefjNmzeIjIzEhQsXlFoAlpOTg0mTJsHU1BS9e/fW9M8Q\ndfPmTUyaNEnhddvCwgKurq6oU6cOqlWrBmNjY8TFxeHFixc4ffq0UltnPXr0CIsWLcKSJUsK/u2n\nn34SXEhTq1YtODs7o0aNGqhatSrKlSuH169fIzo6GsHBwUplmty3bx/69++PXr16iR6rrJSUFAwY\nMEClCfu6devCwcEBlpaWqFixIiwsLJCYmIjXr1/j0aNHCAkJUSrQ5o8//kDlypWxYsUKtdu/fft2\npQJeDAwM4OjoCDc3N9jY2KBBgwaoVKkSjI2NYWBggOTk5IJ7a2xsLO7evYt79+7h7t27uH37ttYv\n6j5x4gTGjRun9NY4FhYW6NChA5o0aYIqVaqgfPnySElJQUxMDG7cuIEbN24otajr+vXrGDx4MI4c\nOQIDAwNN/wxR06dPF9xavkqVKnBxcSn4HZqbm+PNmzd4/fo1Ll++jNu3byt1ngULFqBHjx5o3Lix\nVE0n5AU1jho1SvBzqF27NpycnFC9enVUrVq14Br+8uVLXLhwQenFZV988QVcXFwkG0sE8gKgevfu\nrfSirfznyDZt2qBy5cqoVKkSjIyM8ObNG8TFxeHOnTu4evWqUn2NOXPmwNLSEgMGDND0zyiTsrOz\n4eXlpVLWdEtLS7Rv3x41a9YsGJ9LTU3F69ev8ffff+PcuXNKja+HhoZi9OjR2L17t2BiEyFnzpxR\napG3vr4+2rVrh86dO6NJkyZo0KBBwdyAkZERUlNTkZiYiKSkJLx69Qr37t0ruBfeuHGDASlqyMjI\nwKRJk5S6Z1pZWaFLly6ws7NDvXr1ULduXRgbG8PExATZ2dkF/ZSEhAQ8ePAAERERuHfvHsLCwmRJ\nygBofz+xtNPKIKgDBw4IDobb2dnho48+Eq3H09NTYRAUkLfSTO4gqNzcXEycOFHpACg7OzuMHDkS\nvXv3hoWFhejxOTk5iIqKwqlTp3Dw4EFcu3ZN6YeSKlWqFBq1v337doU/aF1dXaxatUqp+gvTqlUr\ntV9bWjVs2BC9evVC586d0aJFC1SqVEnp1z558gR+fn7YsWMHnjx5Injsn3/+ib1798LDw0PTJpd6\n5ubm6NatGz7++GO0bt0a9erVU7oDlpaWhmPHjmH79u04e/as4O8xPj4e06ZNwx9//CFV0xXKyMjA\nqFGjCr25WltbY+bMmfj4449RuXJlhXVkZWUhODgY33//vWjmmYMHD2LcuHGSTCy/evUK48ePFx2o\n0NHRwcCBAzF58mTRa83ly5exZs2aQjv2oaGhsm0NV9JMmjSp0PfV2dkZixcvhq2t7X/K9PX1UadO\nHdSpUwfdunXDvHnzsGPHDsyfP1/0weabb76Bs7OzUvdwde3fvx8nTpz4z7/r6upiwIABGDNmDNq3\nby9YR3Z2Nk6cOCF6Xc13+PBhfP/996LHGRgYYPDgwRg1ahRatWoFPT09weMfPnwIX19fbNy4UXCb\nhqdPn2LkyJE4fPiw2g+L+U6ePKnUfd7ExAQTJ06Et7c3atasqfC4zMxMHDlyBCtWrCg0MG3lypUY\nMWKERm0ubteuXcO4ceOUehA2NzfHsGHD4OHhoXSfKD4+HlevXsWhQ4fw559/qrQN1ciRI9GpU6d/\n/dvLly+xcOFCha/p06cPunXrpvQ5/knsO/2hx48fY9iwYUoFQLm5uWHChAlwcXGBsbGx4LFxcXHw\n9/fH8uXLBbP7ZWZmwsvLC+fOnYOlpaVKbf9QbGwsJkyYoNS9avDgwZg0aRJatmwpeOylS5ewevVq\nHD9+/D9l58+f1/qU7ydPnhTMLAMAjRs3xuzZs9G3b1/B61vlypUL+jCtWrX618DnzZs3ERAQgKNH\nj8q6mrY0mzx5cqEBrVWrVsXnn38OT09P1KhRQ7COt2/fYuPGjTAxMfnXv9esWROurq4KJ++ePn2K\nc+fOwdXVVf0/QIRQdg4dHR3RBVhyK0vvkYWFxX+ew5QNhklNTcXRo0exfft2nD9/XvA57O3bt/ji\niy+wf/9+Sdpdmly5cgVff/21Usd27doVU6dOhYuLi+DnFB0djfXr12PTpk2imZ4OHz6MFStWqLQA\npjQq6X24ktz/FTJnzhylxmeNjY0xYcIEeHt7CwZL5uTkFDw/idWbnZ2NiRMnwsbGBjY2Niq3XVlp\naWkYN25coVncOnfujGnTpsHZ2Rn6+oqnDMLCwvDNN9+IBott3LgRI0eOROPGjXHy5Ml/BUTl09PT\nw8iRI+Hl5VXo+EK+rKwsHD16FHPmzFG4ECDfDz/8gB49eqj8vS1MfhZkZSa2ateujYkTJ8Ld3R21\natUSPDYzMxMhISFYtmyZ6Hdj06ZNaNWqFYYPH65S24G879XSpUsFjzEyMsLkyZMxceJEwTFnCwuL\ngrmIpk2bonPnzgVlr169QmBgII4fP46TJ0/Kuo2kHB4/fqx0NgU7Ozt88cUX6Nmzp+B37OXLl9i8\neTPWrVsnOpF55coVfPXVV7JnT9q3b1+hQQB6enr47LPPMHLkSLRu3Vrwnv38+XOsXLkSvr6+gs+2\nmZmZ+Pbbb0tsX2r69OmIi4v717/du3cPv/76q8LXjBw5Em3atFHrfMrM4yljxYoVhc5nGhoaYuzY\nsRgyZAiaNm0qWMdff/2FRYsW4cCBA4LHJSQkYNGiRVi5cqVGbc739u1bfPrpp0oFQLVr1w6TJk2C\nm5sbKlSoINrOY8eO4aeffhLdnm3y5Mlo3Lix6HtU1KpXr17o73/Lli24fv16oa/R19fX6LNR9bs8\nZ84cpQKgqlSpgjFjxsDDwwP169cXPDYnJwfXrl3D6tWrResODAzEkiVLMGfOHJXanU+ojwzkXQe9\nvb0xbdo0wb6dmZkZzMzMAOSNR3Xs2LGgLD4+HsHBwQgICEBgYKBKWQW19ZokhZ07d4oucLCzs8Oc\nOXPg5uam8Jhy5crB0NAQVatWBfDv73hOTg4uX75cMPb38OFDSdqujf3Ekv4cKTWd+Ph4rQvT79Kl\nC8LCwhSWr1ixAqNHjxatJzU1FY0aNRK8GAUHB6Ndu3ZqtVMZymaGqFevHpYtW4auXbtqdL4nT55g\n165dWL9+Pd69e4effvoJ48aNU6mOcePGYe/evYWW6enpyRZRmW/btm2YOnWqwvK7d++KXkRK6rnr\n16+Pt2/fonr16hg9ejT69++Phg0bql1fvqysLKxZswY//fQT0tPTFR5XvXp13Lx5E0ZGRhqfT2iV\nwNy5c7UmveG3336LX375Bfr6+nB3d8fQoUPh4uKCcuXKaVz3xYsXMW3aNNEVGDt27JBkNWDTpk1V\nynZgYGCAefPmYcyYMSr9vZmZmfjqq6+wZcsWweN69OiBPXv2KF2vIkOGDCl0AvifatSogd9//x0d\nOnRQqe6goCBMnDjxP9c1XV1dwej09evX49NPP1XpXMVB6HquyOzZszFr1iyVV18/ffoUw4cPx40b\nNwSPc3Z2VmlVyYfOnDkDd3d3lV7TqFEj/Pbbb2jdurXa51Xk4cOHcHV1FQ3i8PDwwI8//qhW1qOn\nT59iypQpoqs7lyxZggkTJqhcf77ExETY29sjNjZW8DhHR0f8/vvvKmVPyM7OxurVq7Fw4cL/DKSJ\n/d4iIyPVzha1efNmTJ8+XZa6AeDdu3dwcnISzYamq6uL0aNHY+7cuaIDPEIyMzNx8uRJrF27FufP\nn0e1atVU3g4xKioK9vb2Cst/+OEH2baZ+Kf379/Dzc1NNDtEq1atsGbNGsFJE0VSUlKwePFi0ex+\nffr00XhbUA8PDwQFBQkeU7NmTWzcuBFOTk4q1R0QEICJEyfi3bt3//p3sd/Opk2bMHDgQJXOVZRG\njBiBw4cPKyx3d3fHunXrRIPeVHHlyhWsXbsW169fVysgSu5rSnGd29vbW+UtUL28vLBgwYKCAUJN\n7Nu3D2PHjlVY7unpid9++03j8xTm4sWLgtkkOnbsKPg9LUx6erpgYKU619nS9h4BeX3O3377Dfr6\n+hgwYACGDh0KZ2dnSZ7Dzp8/jy+++EJ0a2Q/Pz/07NlT4/MJ/YYaNmxYZNuBaCo1NRWOjo6IiYkR\nPK5ixYrw8fFR+Rn2r7/+wujRo3Hz5k3B43R1dREcHKz2oL8cv8GScO6S0ofTxv4vkDf+O2jQINHj\nnJ2dsX79epUzxfn5+WHGjBmiz4W2trY4ffq0RhMGNjY2goH+H7K0tMSqVatUut7l5ubihx9+EA3a\nGDFiBBYvXoz27dv/J4OUvb091qxZo1KmmPxtSy9evCh43Pbt29GnTx+l61Vk+fLlWLBggeAxpqam\nWLRoEYYOHSoYPKZIYGAgJk6cKLhozNzcHKGhoSqPOQcEBAgGItesWRN+fn5qPUsp8vr1a2zcuBGb\nN2/G77///p+JtpImNzcX3bt3F70XGxkZYfHixfDy8lJpPOzly5eYOHGi4EL8fNu2bUPfvn2VrvtD\nYs8DhenQoQNWrFiBRo0aqfS669evY+DAgf95Bv3Q+fPn0aJFC5XqLi5i94GieH6eN2+eygkG+vbt\ni0WLFql8XwoMDISXl5fgXJGBgQHu3LlTEFSgrtzcXAwYMEB03LJevXpYs2YNXFxcVD5HZmYmfv31\nV/zvf/8TDNBr06YNTpw4UewT88oQeoYwMDDAy5cvi6Qde/fuFZ1DLleuHObMmYMJEyaoNbd45coV\njB07VvA5Q19fH8HBwSon0oiIiBAcZzM3N8f27dslXTSUmJiIbdu2YcOGDZg5c6ZaC3xLwjWpKHTq\n1Enw+W/8+PFYtGiRpL/Z/GeHtLQ00XlFIdreT8xXUp4j5aBZOoBicP/+fcEAKAMDA6V/+MbGxujX\nr5/gMXJuD3bv3j3RHwgA9OvXDxcuXNA4AArIS7M2e/ZshIeH48cff0S1atU0rpOk07hxY6xZswa3\nb9/G119/LUkAFJDXQchPdyuUyefly5fYunWrJOcsLczMzDBx4kTcuHEDGzduROfOnSUZeAcAJycn\nXLhwAT169BA87qeffpLkfKqwsLCAv78/Jk6cqPLfW65cOfz8888YNmyY4HFBQUEKt51T1unTp0U7\nKh999BFOnjypcgAUAHTv3h3BwcH/eZBUJj1nabRo0SLMnj1bre0nateujUOHDokGGoWEhKg1UaYu\nFxcXnDhxQpYAqPxtDYQGuo2NjbF27Vps2LBB7cnp2rVrY9++fRg5cqTgcQsWLFA65XRhli9fLhoA\n1bdvXxw+fFjlwRc9PT1Mnz4d27Zt+881R5t/bzNnzhSdAKpYsSL8/f2xbNkyjSaAgLzrb8+ePXHk\nyBGcOHFC9P5Ski1evFg0AGrixIkICgpSe9DexMQECxYsgI+Pj+C97siRI6IBTEKCgoJEX29jY4NT\np06pHAAFAD179kRwcPB/sq5p828nKytLcIDU1tYW69evlzQACsibjNu6datSkxRUOB0dHaxYsQKr\nV6+WJAAKAHr37g1zc3OF5UeOHJFtC/jdu3cLlg8dOlSW86qqNL5H5ubmmDRpEm7evIkNGzagU6dO\nkj2Hubi4ICQkRHQ1Y3E8h5VkP/30k2gAVO3atREcHKzWIp4GDRogICBAtP+Sk5ODadOmKb1lERUt\nbez/pqWlYcaMGaLHeXh4qPWsA+QFox4/flxwTA4Abt++jXXr1qlcv7qsra0REBCgcsCnjo4O5s+f\nj88++0zwuP3792P27Nn/CYDq0aMHDh06pPJWWaampvDz8xPN4uHr66tSvYW5e/eu6H2gRYsWOHv2\nLEaMGKHWxBaQ914EBwcLZsROTEzE3LlzVa5b6BlEX18fW7ZskTQACsjLBPrNN9/gzp07soyzSM3X\n11c0AMrCwgJHjhzByJEjVR4Pq169Ovbv3w8vLy/RY2fNmlVodlW5eHh44ODBgyoHQAF5gSSHDh0S\n7e9L8VskxaZNm4atW7eqdV/q0aMHdu/eLRhY8P79e+zcuVOTJgLI+x6IBUANGDAA586dUysACsjr\nD0ydOhW7d++GqampwuOuX7/O76UKYmNjRbPA1q1bFwEBAfjyyy/VTq5gb2+P4OBg2NnZKTwmKytL\nqf7ah8TG49asWSN51mRzc3NMnjwZN27cKJKtjrXVq1evBAOgevTogSVLlkgetNilSxf4+/tj27Zt\natdRGvqJZYHWBUGJrcLu0aOHSg/QQ4YMESz39/dHWlqa0vWpYtasWaLpYYcPH44tW7b8Z1sATZma\nmmLKlCkqZ8sgeR07dgwjRoyQbQ/w5s2b49ChQ4ID5OwE/tusWbOwePFi1KlTR5b6DQwMsH379n+l\nkf7Q7du3ce3aNVnOXxgjIyP8+eefcHZ2VrsOHR0dLF26VPAhLDc3F4cOHVL7HEBeFLKQKlWqwN/f\nX3A7LjH16tXDgQMHBH83ZYGXlxc+//xzjeowNzfHrl27RANwxdK1S6V58+bYvXu3bJ/t9u3bcfny\nZYXl+vr62Lp1q+jAsTL09fWxatUqwUDw5ORkrF69Wq36X7x4gfXr1wse4+TkhE2bNmk0QfnJJ5/I\nngK+qJw7d040vXilSpVw5MgRWVbH2tnZwcfHR/J6i0JkZKRo22fMmIHFixejfPnyGp9v+PDhoted\nRYsWqV3/vHnzBMurVq0Kf39/jbbca9CgAQ4cOCA42KdNIiMjBbP1fv3117L1lwFovNK1LPv++++V\nysqsCiMjI/Tv319heUpKisZ9ysKkpaUJ1mtmZqbRan0plcb3aM6cOVi4cKFakzrKMDQ0xI4dOwQH\nvK9fvy6alaisePHiheB2DEDeJPHBgwfRoEEDtc9jaGiI7du3w8HBQfC48PBw7Nu3T+3zkDy0tf+7\nceNG0QC/Hj164LffftNoEsbW1hb79+8XnSBcvnx5kQRCVKtWDcePH4e1tbXadSxcuFBwC7XU1NT/\njOW7ublh586dak+Umpubi/bdz507p/E2iTNmzBDcorNJkyY4cuSIRte8fPXr18ehQ4cEg+QOHTpU\n6BbyQoQWknfv3l1w1b+mDAwMStR2O4VJS0vD4sWLBY8pX748/Pz8NNopRFdXF6tWrRJdjP/ixQvZ\nMnd+yNPTE+vXr9do/MbW1hazZ88WPObIkSMMWpbJ119/jf/9739qLVTN5+bmhjFjxggec/DgQbXr\nB/K2wRMbE/Hw8MCmTZskWUTTvXt3+Pr6Cr4vK1eu1LptO4vLd999J3g/tbS0xJ9//om2bdtqfK78\nsTGh+2pYWBgCAgJUqlfoXti8eXNZ58j19PQE+0llndBnA+TtKKTJNU6MJmN/paGfWBZoVRBUZmam\n6LY9YkFNH3JycoKVlZXC8sTERFkGC0+dOoVz584JHuPo6IjVq1fL+iOnsqd58+aYNWuWwvLIyEjR\n7apIWuXLl4ePj49gsKMU28Ypa9GiRZKkKjYxMRF9yDl58qTa9Z89exa3b98WPGbVqlWoW7eu2ufI\n16hRI9GBkdKsWrVq+PHHHyWpq0aNGqLfi7t37+LMmTOSnE8RfX19rFu3TraAgffv34uuBli5cqXa\n+ykrsnr1asEsgr6+virtSZ5vw4YNggMEpqam2Lx5syQZGoYMGQIPDw+N6ylu//vf/wTLdXR04Ovr\ni+bNmxdRi7THokWLBAdKPTw8lNpOWhXe3t4YPHiwwvKbN2/i7NmzKtd78uRJ0YxWPj4+kkzyN2nS\nRKNgrZLk8ePHCsv09fW1OstZaWZvb49p06bJUrdYNiGxbETqOHLkiOAkdL9+/STPRqYJvkeqMzAw\ngI+Pj+BEvJ+fXxG2qOTy8fERnSz6+eefJclmXb58eWzZskV0ImzFihVanfWwNNLG/u/79++xdu1a\nwWOqVauGDRs2QFdX82H01q1biz4PJyQk4Pfff9f4XGJ8fHxQo0YNjeqoUKECpk6dqvTxFStWxLp1\n69ReDZ/PxcVFcDFhVlaWRmMKgYGBuHTpksJyS0tL7Nu3T+NMZv9Uq1YtbNiwQeE8QG5ursoLhoT6\n1EJb2ZYVW7duFc2WPWfOHDg6Omp8Lh0dHaxbt070ue/XX3+VLXtnvoYNG2LFihWSzDlNmDBBMDvF\n69evcevWLY3PQ//m7OwsGoCmrLlz5woGLN66dQtxcXFq1//zzz8LPi+4uLhg7dq1ks6BduvWTXBr\nyOfPn4vOM1Pe+LxQcLupqSn27dsnydxLPjMzM2zduhWGhoYKj1F1gS/vhSWX0GdTu3ZtybNVSqW0\n9BPLAq0KggoICBDsmFapUkXlyUQdHR3BvbEBebbEE7tQm5mZ4bfffpPkAZvoQ+PHjxfsnAQHBxdh\nawjIu4lNnDhRYXlRfSZdunTBqFGjJKuvT58+gg9SV69eVXvgesOGDYLlrq6ukqYbHTp0qCSrGrTR\nd999J2m2pCFDhqBNmzaCx4hlftTU5MmTZe1I7969G8+ePVNY3rlzZ7X2AxdjamqK+fPnKyxPSUlR\nuJ+8IpmZmdiyZYvgMTNmzNAoi82H5s2bJ3kWzKJ0/vx50dUsEyZMkDzdcmnw4MEDwS0xq1SpgmXL\nlsly7kWLFglOhKvzTCB2r+rSpYvK248IGTZsGFq2bClZfcVFbKWhVFtikXTKly+PNWvWyPb86uDg\nIDjBEhISIprFQ1XashVePr5H6qlbty4mTJigsFyTRRulRXp6uuhWKB07dsSAAQMkO2eNGjVEt954\n8OCB6OJCKjra2v/9888/Rbf8nj9/vqQZbcaMGSMaCObr6ytrkJ+Hh4dkQeWq/PYXLFigceBVPqEs\nyAAEJ6fErFixQrB8wYIFsmQq7NKli+A41uHDh5GQkKBUXbm5uYILoOTKeK9NNm/eLFhuY2ODSZMm\nSXY+ExMTLFy4UPCYd+/eqTxmo6r169dLNt6ip6cnOrcWGhoqybkoj6GhoWSBuUBedj2xLGXqfobx\n8fHYtGmTwvL8BQlyPN/PmjVL8H4jx5xvafPzzz8L9kWmT58uyUL6DzVv3lwwu3RoaCgePnyodH1C\n40u8FxYvbf1sSkM/sazQqggbsRvToEGD1FpJIpY9KiQkBNHR0SrXq8hff/0lOlAzf/58wQxVRJrQ\n19dHnz59FJZzILF4CG1h8fjxYzx58kT2NnzxxReS1mdgYCD4XUtKSlLr+pqQkCAYGKajoyN55iYd\nHR0sWbJE0jq1wUcffSTJdm3/pKOjg++//17wmOPHjyMlJUXS8+YzMDCQLVNFPqGtRfX19WXN1tKz\nZ080bdpUYbmqA2rBwcF49+6dwvK6detqvFXih2rWrCn59agoiW0tW79+fdHtPMuqLVu2IDc3V2H5\nt99+K9u2ClWrVsWwYcMUlh89elSllOnv3r3DqVOnFJbr6upKfi3Q1dUt9feqzMzM4m4CFaJPnz5o\n3LixrOcQmmDJzc2VNHPq8+fPBbO/WVtbS5IVQGp8j9QjtAXCgwcP8Pz58yJsTclz/PhxwcFUXV1d\nWQKUJ0yYIJpZateuXZKfl9Sjrf1fsWxvDg4OohP8qtLT0xPNGvz06VOcP39e0vP+05QpUySrq27d\nukoF4VevXl3SjL+ffPKJYBBAeHi4WvVGRETgypUrCssdHBwwaNAgtepWhlD2krS0NKW3ARJ6pgLy\nsmWVZWFhYYiKihI8ZsmSJZIHZ/Tr1w8dO3YUPEaO7J35XF1dRRclqkrs93Dnzh1Jz1fWDR48GLVq\n1ZK0Trk+wz179iA1NVVh+aRJkzTaklVI+fLlBccqL1++LLh4tax7+/Ytjhw5orDcyspK0iDRD02a\nNAnly5dXWK7pNo35yvq9sCQrqZ9NaeknlhVaEwT18uVL0RV46j6Uig3O5ebmShoZvH//fsEHkSpV\nqmjFiknSbt27d1dYxjS1xaNZs2aCDzFiW79pytbWFi4uLpLXa29vL1guNuhQmICAAMGJaEdHR8Eg\nEHXZ2dnJssKhJBs8eLAsWR06duwouCInNTVVtoDMXr16oWLFirLUDeR1hoWuo927d5d1olhHR0cw\ny1RoaKhKAWZCWXmAvMwzBgYGStenLC8vL+jp6Uler9xSU1Nx7NgxwWPGjx8vmNq5rMrJyRFMSV65\ncmXBICUpeHl5KSxLTU1VaQXksWPHBAN2OnTogEaNGqnUPmXIdQ8sSpUqVVJY9urVK9GMDVT05P5t\nAnnP+0J9EiknjPbs2SO46nXIkCElctt6vkfqadmyJapXr66wXO7nsJLuzz//FCx3dXWV5X5Wrlw5\njBw5UvCYgIAAwS10qWhoa/83OTlZdMu0MWPGyHJuJycnNGvWTPAYsd+eJueWelxDmSCoUaNGSRpQ\nUqFCBcEFxKpkifgnseBKKQPICtO6dWvBrNXKZijU1dUVXDyibpBYaSH2+2rQoIHglouaGDt2rGD5\npUuXRLfpU5ccQQvW1iP3D9sAACAASURBVNaoVq2awvIHDx5Ifs6yTOpFiADQrl07wWcIdT9DoWcP\nfX19WYNoAGD48OGCfxczviq2f/9+wbmX8ePHyzIWnK9mzZqC85eqfHZC40tl/V5Y3IQ+m8jISGRk\nZBRha5RTWvqJZYXWBEHt3r1bMPKvSZMmaNWqldr1i2WD8vPzkywNsVgknpeXl6w3ECIAgun4EhMT\n8fTp0yJsDeUT+lwiIiJkPXffvn1lqVdsYE+dVRdCq84B8RUsmpBy5aI2kOu91NXVFcx+BkC2la9y\nBxoHBgYKloul7ZdChw4dFJZlZGTg2rVrStcl9jnI9R2pVq0aOnXqJEvdcjp9+jTS09MVlpuamor2\nO8uqsLAwwcHevn37qpX1VRXNmjUTfAi/cOGC0nUV571q8ODBstVdFKpUqaKwLDc3Fxs3bizC1pCY\nWrVqFcn2RrVr1xZcOf/48WPJttsQygyio6NTYq/jfI/UV5zPYSVZbm6u6P3s008/le38Hh4egvf+\nxMRE0S3YSH7a2v+9cOGCYMC6mZkZPvnkE9nOL/aenD59WpbzyvE3KRMIWdTnffnypVqTZ0LP8+bm\n5ujWrZvKdapK6Hk+JCRE6XqE+tTbtm0T/N2WdmK/LznvbT179hR85lTm3qsOU1NTdOnSRfJ6AeGx\nX2bbkY6NjQ2aNGkieb3GxsaoV6+ewnJ1PsPY2FjBBaKurq6oXLmyyvWqokKFCoLbz6oyvlPWCN0L\nlRnTl4LQvfDatWtK38OE7oX+/v6Ii4tTuW0kDaHPJjExUTRja3EoTf3EskBrgqB27twpWK7pw7S7\nuzuMjIwUlj99+lR0dZAy3r17h5s3bwoeI7QCnUgqQis0ABTJ1mv0X0Kfi9yfiYODgyz12tjYCJar\ns7pJ6Gaur68vuKWFpgYOHKg1q9o11bRpUzRo0EC2+oW2SgQgmFpUXTo6Omjfvr3k9f7TiRMnFJYZ\nGBigZ8+esp4fyBuAqlChgsJyZTMaREdHCwbFtm7dGvXr11e5fcqSM0hELmKDqQMGDIC5uXkRtUa7\nCP12gLytA+Qmdo1QZZXYxYsXFZaVK1dOtuBjQDt/O//UokULwUUhq1evFs04QUXHwcFBlqyRhREL\nZJYi01FYWBgiIyMVlnfo0AF169bV+Dxy4XuknuJ8DivJIiMjBScGjIyMRPv0mqhatapoJg4O9BY/\nbe3/CvXVgLygHWNjY9nO7+HhIXj/fPjwIV6+fCn5eeUY+xF7JjQ1NZUlU6nYeIWqE5sxMTGCGU96\n9uxZJAuXnZycFJY9e/YMb968Uaqetm3bKix79OgRpkyZUmK3m5FTcnKy6JiInAsgy5UrhwEDBgge\nI8e9rW3btrJl2xYa+42LixPdnpGUI9fYPSD8Gaozdh8cHCz4uRfF+A4gfD1lFqDCpaenC16D7O3t\nBXd3kIrQZ5eVlYV79+4pVY/QvTA+Ph7e3t4q7ZhA0mnXrp1g+bfffourV68WUWvElbZ+Ylkg71Jq\niYSGhgp+sXR1dTVe7Wxubo5PPvkE+/fvV3jMjh07NE6DevPmTcGbf926dbVusJCKR05ODp4+fYrX\nr18jLi4OKSkpyMjIUHqVk1hmMzkGWsqCt2/f4tmzZ3j79i3i4+Px/v17ZGRkKJ1JTmh7Fzk/E319\nfdFOh7rMzMygq6ur8D1ITExUqb6EhATExMQoLLexsRFcUaWpmjVrom7duoJtKC2EUmtKoUWLFtDR\n0VF4X7x//z5yc3MlDTpr0KABzMzMJKvvQzk5OYIrnRo2bAgTExPZzp9PR0cHtWrVQnx8fKHld+/e\nVaoese1R5Q4oE9quuKS6ceOGYLnQao2yTiyTgyZZX1VRp04dhWXK/nbevXsnGEDYuHFjwUBFTdWp\nUwe1a9fW2syeRkZGsLOzU7gyMzMzE8OHD8f48eMxffp0wdVjJL+i+m0CeQHU5ubmCvuPf/zxB5Yu\nXSq4wEmMWJBQSd+6vqy+R4U9h71//17pSTehZ62yvAXnnTt3BMttbW1l79s6OjoiKChIYblYG0l+\n2tr/FfvuyP0sUq1aNTRo0EBwzPvOnTuC23WqysDAQJbnfFNTU8Hy1q1byxJ8IXbexMRE1KxZU+n6\nxDIml4TnESDvmUQo82M+V1dX7NmzR2H5vn37EBMTgwULFsDe3l7ldmqriIgIwXHaGjVqwNraWtY2\nODo6Cma3lePeJmcAjVCga2ZmJtLS0mQNKi0riuszVHXsHtCO8Z2oqChkZmZKulVraRAeHi6YZamo\nPjuxefK7d++idevWovW4urpi2bJlCsvPnTuHzp07Y8GCBUWSxYf+n7W1NaysrBTOsyUmJqJv376Y\nPn06JkyYIOucjjJKWz+xLNCKIKgdO3YIlru5uUkSeTpkyBDBIKijR48iPj5eowkLsVUGdnZ2atdN\npVt0dDSCg4Nx9epV3Lx5E48fP5Z1T9S3b9/KVndpkZycjNOnTyM0NBTXr1/H/fv3FQYcSEHOz6Ry\n5coaTYSIMTU1VfjApOr3+P79+4LlQmlupdK8efMyEQQl93tpamqKevXq4dGjR4WWJycn48mTJ7Cy\nspLsnC1btpSsrsJERUUJrh5p3LixrOf/J6G00sqmsi7u35uVlRXMzMyQlJQk63mkkp2dLRokw76e\nYkL9ZEtLS1mDhv5J6LcTGxuLnJwc0aw3YlsnFcW9qlmzZlobBAUAI0aMEExPn52djXXr1mHz5s3o\n27cvBg4ciE6dOnFb8WIg9731n4yMjODu7o5t27YVWp6YmIijR4+qnQ0tIyMDBw4cUFhuamoqaxY3\nKZSF9yg5ORmnTp3CpUuXCrJSyfkc9u7dO9nqLunEVljLvWhCmXOU5e0KSwJt7v+Kfb+L4v5ma2sr\nGAQVEREh6fZVVatWRfny5SWrL59YMFKtWrUkP6cy533//r1K9YktAiqq53mxLaKUfZ7v06cP5s6d\nK3gfu3LlCrp37462bdvC09MTffr0gaWlpUrt1TbacG9TNsOJKoS2/tWU2MR0RkYGg6AkIDbxrQmh\nz1CdOSih66murq7ozhFSEbqeZmdnIzY2Vtb3VRuVlHuhhYUF9PT0kJ2dXWi5svdCJycnNGzYULC/\nFRkZicGDB6Nx48YYMmQI+vXrJ3swLOUZPnw4FixYoLA8LS0NCxcuhI+PDwYOHIgBAwbAyclJtsyG\nQkrKb0OqfmJZUOKDoJKTk3Ho0CHBYzw9PSU5V6dOnVCjRg28ePGi0PL3799j7969GDdunNrnePz4\nsWC5XJlYSDvl73u6bdu2Il/dmJaWVqTn0yanT5+Gr68vAgMDVR5Q0YScn0nFihVlqxsATExMJAuC\nEruOFlUQ1NGjR2U/T3Fr0aKF7Odo3ry5wiAoAHj+/LmkQVByDvoAeUFQQpKSkhROSkpNaDJQUV/n\nQ8X9e9PR0UGzZs1w6dIlWc8jlRcvXgiulqpSpQrq1atXhC3SHu/evRNMsW5sbFxkvx2hLZ6ysrLw\n6tUr0YmB4v7tAHnXcKG96ku6gQMH4qeffsLDhw8Fj0tPT8fevXuxd+9emJiYoEOHDnBxcYGTkxNa\ntGjBVZ1FQO5764eGDBkieD3YvXu32gE+x48fF5wo7Nu3b5FkdNRUaX2PTp06BV9fXwQFBZWa57CS\nTmwrwKKYKBYLRPn7779lbwMppq3934yMDMEsb/r6+mjSpIns7bC1tRUMLJV6O065FhWIBTcU13kz\nMzNVqk/sef7GjRtFsshA6DcFKP88b2Zmhs8//xwLFy4UPTYsLAxhYWH4+uuv0aJFC3Tq1AlOTk5w\ncHCQfcywqJWEe1uDBg1gamqK5OTkQsuTk5Px9u1bSTPdy/k5ivX95FzIXZbIuTBM6DNU5/MTCjgx\nMzPD3r17Va5THWJb3r148YJBUB8Quxc+ePCgyMbnDAwM/o+9+46L4lr/B/5ZqhRplmADLBQLihgQ\nFBW72MFujAVjiRFjjOYajVdjNzGxx46KoBK7WCkSVLoiohjFAlhIFASkd35/+IOvyWVntszs7izP\n+/XKH/ee8ZzDTjttnoOioqI60yR9F2poaGDx4sWYM2cO67GPHj3CypUrsXLlStjY2MDd3R09e/aE\ni4sLp5E5yf+ZPXs2du7cyfpRU15eHg4dOoRDhw7B2NgY7u7u6NWrF1xcXNChQwfWj1W5oG7txPpA\n5RdBnT17VmxjEPgQpnH48OGclKWpqYlx48Zh+/btYo/x9/eXaxEU2wo8a2trmfMm6qOiogK7d+/G\nli1blBaRiTon/ys6OhorVqxgDXvIFz7PCd8DGkzbmUm7LzzbtoBt27aVKj9Z1JdntSK+/mPrQHC9\nDSRTeGcusL3nr127phKLEiSNrMT2+7dr146L6rCWIZRFUGznXxG/l1CxdRKfP3+OBQsWKKg2zPLz\n81mfj6py7wiZpqYm9u3bh6FDh7J28GsUFhb+4zmrp6cHBwcHODs7w8XFBS4uLmo3iaMK+H63/pur\nqyvatGkjdhF1eHg4MjIypNr+psaxY8cY01V9K7wa6vYbRUZGYsWKFUhISOA8b0nU574x2wBqmzZt\neK9D48aNGbd4LCgoQH5+vtK3R6ivhNr+/fvvvxnHIlq0aKGQ6JJs4xdcb8fJ1wQ62xb2yipX2vEm\ntut5zZo1UuXHF2kiJX/99dcICQlBXFycRMdXV1cjKSkJSUlJ2L59O0QiEaytreHk5ITu3bvDxcVF\nYRFc+KIK7zYNDQ1YWVkxfvT8119/CWYRFNf3Iqmbss6htOfv/fv3jM+p9+/fq9T4Dvkntnfhrl27\nFFQTZtKcu/Hjx+PSpUu4cOGCxP8mJSUFKSkp2LdvH4APuxU4OzvXji917NhRIQtv1J2RkRF27dqF\nKVOmSPysef/+Pc6fP18bQKdhw4bo1q1b7blxcnLipW+oju1Edafyd2hAQABj+siRIzndwmnSpEmM\n6TWdAFm9ffuWMd3Y2FjmvIl6SE1NxcCBA7FixQqlbkknLsxkfVRRUYEffvgBw4YNU9oCKIDfc8JH\nOHS+sD1HFTERV18G2BXxd7Kdr3fv3nFaHt9/k1BW2ksa0YDpftPU1FRINAwh3W/UzpOdUO4dQLL7\nh95V3HB0dMRvv/0mczSn4uJiREdHY9u2bZg0aRLatm2Lfv36YcOGDbxsMVFfKeNaY+q3V1VVyfRl\ncWZmJsLCwsSmW1paomfPnlLnqyzq8BtVVFTg+++/x/Dhw5W2AAqo331jtjEJRS2CVHSfgUhOqO1f\noVzbWVlZnJanrG2DhbJdsVD6JNJEKNTR0cHRo0dl/mCwuroaKSkpCAgIwIIFC+Ds7IwOHTpg/vz5\nuHbtmiAXCrO9M+j+J6pKKOdQKM9SoH5HfBVHKOdPmnMnEomwe/duubZoTk9Px8mTJ7FkyRL06tUL\n1tbW+OKLL3D27FkUFhbKnC8Bhg0bhtWrV7MuqBUnPz8ff/zxB3766Sd4eXmhTZs2GDp0KLZt24a0\ntDTO6qmO94a6U+lFUE+fPmX98p9t0ZK02rdvDwcHB8Zj/P39Zc6f7eJT1cEBohgJCQkYMGAA7t69\nq+yqkP+vuLgYEyZMwM6dO1FVVaXs6hCwP0cVMRGnDhPLklCF31LS6B9clScvpuiVqkTSgUqm+83Q\n0JCr6jAS0v1G7TzZCeXeASS7f9iuBUXcP0K6d5h4eXnhwoULnIQer6qqQkJCAjZt2gRXV1f07t0b\nvr6+nL9r6hNtbW00aNBA4eVOnDiR8avL48ePS53n77//joqKCrHpkyZNknlQThmE/hsVFRVh3Lhx\n2L17N0UPUCJV6HsB7BPFNNCrPEJt/wrl2qY2imIJpU8i7cKjTz75BNevX8fgwYM5KT8jIwP+/v6Y\nMGEC7OzssHTpUk4nGfnGdl/R/U+IfITyLAXqd8RXcYRy/qQ9dwYGBrh48SI+//xzTsp/9+4dTp06\nhRkzZsDW1hbz589njO5HmPn4+MDPz4+Td3B5eTmioqKwcuVKODg4wMPDAydPnpT74yZ1vTfUmUov\ngmJbbGRhYYEePXpwXi7bwqqTJ0+itLRUpryFOjhA+Pf06VOMHTuWvmBUIVVVVfD29mb82pkonioM\nVih62xdlEIlEKjFJz3Wjje8wtUKZgJF0MpGpvaMqA4OqhO35RO088YRy7wCS3T/0ruKWq6srYmJi\nMH/+fE4X3CQlJWHRokXo3LkzDhw4UK+jvchKWeHfW7VqhV69eolNf/z4sdSRg5gWBYlEIkycOFGq\n/JRNyL9RZWUlZsyYgfDwcE7yI7JjG/tS1LuGrQ0l6xgdkZ9Q279s14yi+jp0bauO6upqwSw6kWVx\nsLGxMU6cOIGDBw+idevWnNUlOzsbe/bsQbdu3TBv3jxBRElQlXcbLYIi6krdxnfqG6GcP1nOna6u\nLnbs2IEzZ87A3t6es7oUFBTA398fbm5umDx5Mp4+fcpZ3vXJiBEjEBMTgylTpkBTU5OzfKOjozFr\n1ix069YNZ86ckSkPdW8nqistZVdAnMrKSpw4cYLxGEtLSxw9epTzsouKihjTc3JycPnyZXh6enJe\ntpC+LCXcKSsrw4wZMyTe/k5PTw+Ojo7o3Lkz2rVrBwsLCzRp0gSNGjWCoaEh9PT0oKWlBS0t8bd4\nRUUFGjduzNWfoJZ27NiBK1euSHy8ra0tunbtig4dOsDS0hLm5uZo0qQJDA0NYWBgAG1tbWhrazPe\n57Nnz5Zpa4r6hC0iF9N1zxVZt+URkurqalRUVPD+t5aXlzOmC21vbaboCELEdL8p6j6oD/cbUb97\nh63DqYjrWt3uHVNTU6xduxZffvkljhw5ghMnTuDFixec5P327VssXry4dmLI0tKSk3wJvyZNmoSI\niAix6ceOHYOjo6NEed2/f5/xq82ePXvCyspK2ioqnVB/o61bt+LatWsSH29nZwcHBwe5+mHe3t4y\nD4jWZ4oaw6KBXKJodG3XP+rWH6mLSCTCmDFjMHLkSJw+fRrHjh3DzZs3ObkOKysrcezYMVy8eBFb\ntmzBmDFjOKgxIUSI6sPzVJ3Vh/PXr18/9O3bF5cvX4a/vz9CQ0NZ5ygkdfnyZVy/fh3//e9/MW/e\nPE7yrE9atGiBnTt34uuvv8bhw4dx8uRJ1u23JZWWlgZvb2+cOHECe/bsgZmZmcT/tj7cF+pIZRdB\nhYSE4O+//2Y85ubNm7h586aCavRP/v7+Mi2C0tPTY0zPzc1F06ZNZa0WEai9e/fi/v37rMcNHjwY\n06dPR9++feX+Cp4GWpi9fv0aGzZsYD3OysoKs2fPhqenJ5o1ayZ3uXRe2LHtf66IsJT5+fm8l6EK\n8vPzpWoMyloGE6Hsd19DR0dH2VXgFNPfo6gQsEK639jeze/fv1dQTYSnPt07AL2r5NGiRQssW7YM\n33//PaKjo3H9+nXcvHkTCQkJcg9a3b59G/369cPly5dha2vLUY0JX0aOHIklS5aIvdZPnz6N9evX\nS/R8Ydsaji1atKoS4m/08uVLbNq0ifW41q1bY/bs2fDy8uJku0zqh9WNrS3+/v17mJqa8l6PvLw8\nxnSh9RnUiVDbv2zXDNs1xxW6tlWHtrY2NDQ0WD+8Uwfa2tqYOHEiJk6ciJcvX+Lq1au4ceMGIiMj\nJf5AV5y8vDzMnDkTr1+/xoIFCziqMbeEcv8rY8tpQrigbuM79U19OX8ikQjDhg3DsGHDkJWVhcuX\nL+PmzZu4deuW3FENS0pKsGzZMqSmpuLnn3/mqMb1i7W1NdatW4cff/wRERERCA8Px40bN/DgwQO5\n22rBwcHo378/rl69KvFYQn1qJ6oTlV0ExbYVnrKFh4fj9evXaNGihVT/jm0RlKoODhD+lJSUYOvW\nrYzHmJmZYf/+/ejfvz9n5arrxBhXtm7dyhrecO7cuVizZg2nkRYU1dEWMrbBCkVc2/Xl/lGFRVD6\n+vq8ls81tvqeOnUKAwYMUFBt5Mc06Kao+0BI9xu182THdu8sXLgQq1atUkxlOMA2YE3vKvmJRCL0\n6NGjdnv0wsJCxMXFISoqCjExMbhz5w5rhN+6vHv3DuPHj0doaCiaNGnCdbUJh/T19TFq1CixYwc5\nOTm4cuUKRo0axZhPRUUFTp06JTbdwMCANQ9VJcTfaMuWLazbIX/11Vf48ccfOY0Aq+7PTFmxtW0U\n9bux9ZPZ6kn4I9T2r1CubVoEoVh6enooLCysM61p06ZISUlRcI3416pVK8yaNQuzZs1CdXU1kpOT\nER0djejoaMTGxuL169cy5bty5Uq0atWKl5005KUKfTWA7n+ivtjGd7y8vODr66ug2hBpMZ0/kUiE\njIwMtWt7N27cGFOnTsXUqVMBAE+fPkVUVBSio6MRExOD1NRUmfLdv38/LCws4OPjw2V16xUtLS30\n79+/dm48Nze3tp0SExODxMRE1vGDuqSmpmLSpEm4ePGixPNP9bGdKHQqucdMVlaWVKHPlaGqqor1\nS8i6sK0qVNXBAfIB257hsrh06RLevXsnNt3IyAhhYWGcLoACPgx4k7qVlJSwbkm3Zs0abNy4kfOt\nZnJzcznNTx2xfWmsiMGK+rJYTRF/J9v5Elp0RLbrU9ZOk7Iw/T0lJSWchQpmIqRJSWrnya4+3TsA\nLYLig4GBAfr27Yvly5cjKCgIL168QFhYGFauXImePXtKtVgiPT0dS5Ys4bG23OOjnyIEkydPZkyX\npM8eGhrKGF595MiRMDQ0lLpuqkJIv1FxcTHjYisA2LBhA9atW8f5FtjUP65bo0aNGNNVJVpG48aN\nFVIPeanjs1qo7V+hXNu0IFuxmNrwb9++FTvxpS5EIhE6deqEWbNmwdfXF8nJyUhKSsJvv/2G8ePH\ns943H6uuroaPjw8yMzN5rLFs2N4ZdP8TIh91G9+pb5jOX3V1NdLS0hRXGSVp164dpk6dit27d+Pu\n3btISUmBr68vpk6diubNm0uV18qVK/Hw4UOealr/mJiYwMPDA6tXr0ZwcDBevnyJixcv4rvvvkO3\nbt2k2tI6ISEBGzdulPj4+t5OFCKVXAR1/PhxhUyqySsgIEDqkOlskaOePn0qT5UI+A1jL29I4Lpc\nvnyZMX3z5s1o3bo15+XSIK94kZGRjAN1ffv2xfz583kpm84LO3Nzc8Z0ecOVSoJtu1Z18ezZM97L\nYHvvsZ1vVdOyZUvGdKF1FNkmNRRxvymiDK5QO092rVq1Ykyne0d6Qrp3+KClpYVu3brhm2++waVL\nl/DkyRNs27YNjo6OEv378+fPIykpSaoy2QZbhNZPEYIePXow9pVCQ0NZJ9/YFgGxLSJSdUL6jW7c\nuME4IThgwAB8+eWXnJT1b9QPqxtbW1wRk1hZWVmM14WhoaFUi/CU+axWx+tMqO1fc3NzxmshIyND\nIYvWnj9/zpjOxXafRHLq1ifhgoWFBSZPnox9+/YhJSUF58+fx4QJEyTaLqmgoAC//vqrAmopHVV4\nt1VXVyM9PZ3xGKGNhxFSo0WLFtDQED/1XB+fpUKibmPbXGjatCm8vLywfft2JCcnIzQ0FF988YVE\nfZCqqiqsW7dOAbWsn3R1deHm5oZly5YhLCwMDx8+xLp162BjYyPRv9+/f7/Ec33UThQelVwEdezY\nMWVXQSKpqamIjIyU6t+0adOGMf327dvyVKleYPvis7i4mLey+Riwio6OFpvWsmVLjBs3jvMyAXog\nM2E6J8CHLXmkWVEsqYqKCpnDTNcnbIOsDx484L0O9+/f570MVaCI35KtDCsrK97rwCW2+qrqJIA4\ndL9Jp1mzZowhdLOysuj9K0aLFi0Y23ipqamC2ned7h3VY2pqimnTpuH69es4d+4ca7+suroaBw8e\nlKoMTU1NxnQ++yn1OZropEmTxKZVVFQwRnjNzc3F1atXxaZbWFjAzc1NrvqpAqH8RpL0w/hQVlaG\njIwMXvIWOgsLC8Z0aReLyoKtDLY6/hvbmJIsW6lKSh0XQQm1/autrc24wKC8vBx//vkn7/Xg+vom\n8rG0tGRMF1p/nmuampro06cP9u7di3v37kk0Zu3n5yfTNjV8UoV327Nnzxgj9xoaGsLMzIz3ehDC\nB21tbcZoOTk5OfX2Ix4hULexba6JRCJ8+umn2Lx5Mx48eIC5c+eyzhVeunSJ+psK0qxZM3z11VeI\njY3FoUOHWHcZKS4uRkBAgER5UztReFRuEdTt27cV0snkir+/v1THd+7cmTE9Li5OnurUC7q6uozp\nfG79wfWLKi8vjzHPUaNG8bLYBgBiYmJ4yVcdPHr0SGxa48aNeZsISUpKopCJErC1tWVMV4WFO+qC\n7wn0169fM04ENG/eHCYmJrzWgWudO3dmfG5HRUWp3AAgEzs7O8Z0vu+F3NxcvHr1itcyuKShoYFO\nnToxHkNtvbrp6OgwXm95eXmC+lhA2feOosoQKnd3d4SGhqJDhw6Mx4WHh0uVL1s/hc+tNerzQvqJ\nEycyvnuZohidOnWKMdIHW95CIZTfiKkf9sknn6BHjx6clPNviYmJKCkp4SVvoWvfvj1juiIW3LJN\nRrM9y/9NU1OTcdEqn2NK6visFnL7l+36VoVFfh07duS9DuT/sI3bS9s2VGfNmjXD/v37sWjRIsbj\nCgsLVe4ZoI7vNkJUDdvz9Pr16wqqCZEWvQslZ2Jigo0bN2LLli2sx/7xxx/8V4jUEolE8PT0RHBw\nMOsWhpJe03RvCI/KLYJiW1TUrVs35ObmKuy/8+fPM9bnwoULUg2QdOnShTEU5IsXL/DixQuJ86uP\njIyMGNOZtjGTV2xsLKf5sZ1rtk6ZPGgRlHhM58XGxob1K39Z0TmRjIWFBRo2bCg2/cGDB6isrOSt\n/LKyMsYJGnVy+/ZtVFRU8JY/2zVvb2/PW9l8MTExQdu2bcWm5+fn49atWwqskXzYBt7u3bvHa/l8\n58+Hrl27MqYL6fwr2qeffsqYzhSJRNVYWVkxRkW4f/8+r5GtSkpKkJKSwlv+6sDMzAx79+5lbNe9\nePFCqoWYyuynX+bTmwAAIABJREFUqNrkkiKxRSJ68OCB2MkspsU/IpFI8Fvh1RDKb8TUD7O1tWUc\nS5EH1/18dcLWHk9KSuI1yh3AHiGMbQFOXZie13w+q9W1zy/U9i/b9c33syEzM5P1i3FZrm8iO7b+\nyLVr13jdMlOIVqxYgW7dujEeExUVpaDaSKZDhw6MbYrXr1/zPj/Dx7uNEFWiTuM79Q3bubt16xav\nHw0I0fTp0zFq1CjGY1TtXVhfWFlZsS5Si4uLk2g+kdqJwqNSi6CKi4tx5swZxmPGjx+voNp80KtX\nL8btLIqKiljr/DETExPWjsGRI0ckzk8ZmDoJlZWVvN/kTZo0YUzna8Ln+fPnePPmDad5FhQUMKZ/\n8sknnJZXIz09HQ8fPuQlb3XAdF74OicANf4lJRKJ4OzsLDY9Ly8PN27c4K38a9eu1Zsvxd+9e8fr\nVwqnTp1iTBfq9jN9+/ZlTL906ZKCaiK/zp07Q09PT2x6eHg4rxHsgoKCeMubL/369WNMP3PmDK/R\nYOTFttC3vLyct7LZ7p3Lly/zVjbXNDQ04OTkJDY9JyeH1wnBq1evCirqnLLY29vD1dWV8Rhp2v9s\n/ZQnT55InJc0UlJSkJWVxUveQsG2EKeuhTwpKSm4c+eO2H/j6uoquG15mQjhN1JWP+zKlSu85S10\nNjY2jM+2wsJCXtu2WVlZrJECZOkzMP1NfD2rAX4XQSmzDSfU9m/Pnj0Z04OCgnjt+588eZJxUbyN\njQ3rFh6EW46OjozRqP/66y8kJCQosEaqTyQSYebMmYzHcD2eLi9DQ0M4ODgwHsM2XiWP8vJynD17\nlvEYoY6HCZky36PqiK1tEBISQmMWLJiuST4/WjY3N2f8KLasrAyhoaG8lS9Us2bNYkyX9l1IzyTu\nDB48mHEru7KyMom26FTXdqI6X2sqtQjq/PnzjJ1iLS0tjBkzRoE1+jCBwVamtFviDRkyhDFdFffK\n/piOjg5jOt9fAbZs2ZIxPTk5mZdyL168yHmebOdZS0uL8zIBYN++fbxGHxA6pvPC1zlJTk7mdeGO\nuunVqxdj+smTJ3krm8+8VRFff29ubi7CwsIYj2E7z6pq+PDhjOnHjx9XuUFAcXR0dNC9e3ex6UVF\nRbxNfFVUVLAODKqiPn36MEYAKigowIkTJxRYI+loa2szpvM5ETRgwADGRXePHj0S1EQ12zOMz4H1\n33//nbe81Y2LiwtjujSLi9SpnyI0o0aNYowUevLkyf8ZKGaKcASwLxoSGiH8RkyDa3xF47137x59\nlctAJBLB3d2d8ZjAwEDeyj916hTjdWFsbMwahaguTM/rP//8k5fxklevXiExMZHzfGsosw0n1PZv\nz549Gcc48/LyeG17sv0mbPce4Z6WlhYGDx7MeMzWrVsVVBvhYPuoQBUX67N9gMPnuy0kJITxNxGJ\nROjTpw9v5ZO6KfM9qo4cHBwY21vv37/HoUOHFFgj4WG6JisrK3mdQx42bBhj+rZt2yjizb90796d\ncZt4ad+F9EziFtP8BiDZ+VHXdqI6X2sqtQiKbTFRv3790LhxYwXV5v9MmDCBMT0+Ph6PHz+WOL+x\nY8cyRlPKzMxEQECAxPkpmqGhIWM636EQGzduDFNTU7HpfGwFUVFRgb1793KeL9NEHwC8ffuW8zLz\n8/Nx9OhRzvNVJ0znhY9zAgC//fYbL/mqK7bFpBcvXuQlOk1OTg6Cg4M5z1eVXbp0CZmZmZzne/To\nUcbOmpWVFeuXearKzc2NsaNfVFSEzZs3K7BG8mG73/gaHAwODsa7d+94yZtPDRo0wIgRIxiP2bNn\nD0pLSxVUI+kwTZAD/LbzDAwMWBcRrlmzRjADLWz3zoULF3j5eODdu3f0VZ4U2PqX0tyr5ubmjFss\n8bGtTllZGfbv3895vkKjr6+PkSNHik3PzMxESEhI7f+uqqpiXCxoYGCA0aNHc1pHZRPCb9SgQQPG\n+vGB+mHs2N7N169fx/Pnzzkvt6KignVyzMPDQ6YFctbW1mLTioqKxG4PKY89e/bw+tW+MttwQm3/\nGhgYsC6EOHDgAC9lx8bGIikpifEYtnuP8GPixImM6UFBQbh7966CaiMMjRo1YkxXtXsfYL+/Hj9+\njJs3b/JSNlvb3dXVlfU3JdxT9pyXOmKbV/3ll194jS4vdMq8JidMmMC4oCcxMREXLlzgrXwh0tbW\nhrGxsdh0ad+F9EziFldjf+rYTlRmP5JvKrMIKi0tDZGRkYzHKHorvBodO3ZkDP8HSBcNytLSkjUc\n5MqVK5Geni5xnorE9rBIS0vjvQ729vZi0x49eoQHDx5wWt6JEyfw+vVrTvME2H9LPkLnrVy5UiXD\nkKsSpvOSlJQk0f6w0oiNjVXJryJVmZ2dHeNzOS8vj5dV1xs2bBD0ymdZFBQUYPXq1ZzmmZWVhZ9/\n/pnxmLFjx3JapiJpamqyhoM/cuQIL5MrfBg9ejTj4u2wsDDWNpy0KisrsXbtWk7zVKQZM2Ywpj9/\n/hw//vijgmojHRMTE8aoh3y382bPns2Y/vDhQ/j6+vJaB6506tQJtra2YtNzc3Oxfft2zstdv369\nSkeVVTVsiy2ZBrHq0qlTJ7FpycnJePTokVT5sTl+/Dj++usvTvMUKmm2e4uIiGDs340YMYJ10FGI\nVP03YuqH3bt3j/PoPFFRUfUuyqsshgwZwhj2v7KyEkuXLuW83L1797J+cChrNDKmMSUAOH36tEz5\nipOdnQ0/Pz9O8/w3ZbfhhNr+ZZvIiIyMxLlz5zgts6qqCkuWLGE8plWrVoKNjCx07u7ujG14APj+\n++95XdQoNGxbyDB9JKAsXbt2hZ2dHeMxS5cu5XwMOCgoCOHh4YzHqFs0UqFQhTkvdePt7c3YNnn7\n9i1++uknBdZIWJR5TbZr1451Dnv16tU0z/iRiooKxt9D2rEleiZxi6uxP3VsJyq7H8knlVkE5e/v\nz/hVt6GhIYYOHarAGv0T26rlwMBAqS7qhQsXMqbn5eVh7ty5KrllGds2D9JExZIVW5hdLiMdpaen\nY/ny5Zzl97GWLVsyhpq7cuUKp52tq1evCmbiUJlat24tNi0nJwe3bt3irKz8/HzMnj2b8051fTBl\nyhTG9J07d+LFixeclffo0aN6e/8EBARwunXD2rVrWbe/nT59OmflKcOMGTMYJ4vKysowadIk3qLL\nccnc3BwDBw5kPGbp0qWctlkOHTqEhw8fcpaform4uLC2VXbv3o2IiAgF1UhyIpEIzZs3F5vO9QKO\nf3NycoKbmxvjMUuXLuX0XcwntnfVtm3bOF1on5ycjMOHD3OWX33A9n6ztLSUKr8ePXowpnPZT0lL\nS8OKFSs4y0/oevToASsrK7HpV69eRU5ODgD2bd4mTZrEZdVUhqr/Rkz9sKysLE63rXv//j3mzJmj\nkmMuqkZXV5f1fRYcHMzptmF///03Nm3axHiMnZ2dzItE2J7Vp06d4vTjl3nz5vE+SaTsNpxQ279D\nhw5Fs2bNGI/54YcfOI1UcfDgQdYoUDNnzmSMwED4IxKJ8PXXXzMeExMTg8WLFyuoRqqPLeIBU9tD\nmby9vRnTk5OTOY0GV1RUhGXLljEeY2ZmBk9PT87KJJIzNzdnnKfh+z2qjlq0aMEa2GLbtm30UYIY\nbPOwfF+T33zzDWP6s2fPMHPmTJrX+v/YPtqRdmyJnkncunfvntg0LS0t1vuthjq2E5Xdj+STSiyC\nqqqqYo2CMnz4cMb95fk2btw4xigIb9++lWqLJDc3N9YJxejoaCxcuFDltvywsbFhTL927RrvdWD7\n7Xx9fTlZjFVSUoJZs2bh/fv3cudVF21tbcYvEF+8eMHZ14IpKSn46quvOMlL3Tk6OjKmr1u3jpNy\nKioqMHfuXJWN+qbqPv/8c8avyYqLi7Fo0SJOJjbKy8uxcOFCQa3g5lJVVRVmzZrFycB9UFAQjhw5\nwniMl5eXxA1PVWViYoL//Oc/jMe8evUKkydPRm5uroJq9WELX1kihrC9P+7fv48dO3bIWq1/SE9P\nF3QUqBorV65kTK+uroa3tzeSk5MVVCPJMbX1Xr58iT///JPX8tetW8fY7i4vL8fUqVMVulDu5cuX\nMoUznjp1KmNY4aKiIixatIiT9n5ZWRm+/vprtRiAOnz4MJ49e8Z7Oampqbh+/brY9EaNGkk9UDVg\nwADG9P379+Pp06dS5VmX4uJizJw5k768/IhIJGKM6FFWVobTp08jPz8fFy9eFHtcq1at0Lt3bz6q\nqHSq/hspqh9WXl6OOXPm4OXLl5zkVx/4+PgwbldYcwwXH6GUl5djxowZrM+3b7/9VuZFIm3atEGb\nNm3EpmdkZGDLli0y5f1vO3bswNWrVznJi42y23BCbP/q6urCx8eH8ZhXr16xHiOpxMRE1t/J1NSU\nNbIw4dekSZPg4ODAeMzhw4fx66+/KqhGH97R0jxL4uLiEBQUpJB5hYMHDzKmd+3alfc6yGLq1Kn4\n5JNPGI9ZtWoVZx8F+vj4sLY9vvrqKxgYGHBSHpGOlpYW44L8uLg4hY7fqYsVK1awXtM+Pj64ceOG\ngmr0ISIM1xHt+cA2DyvNfLQs3NzcMGzYMMZjQkJC8N133ynsw5KqqirGfuq/PX36FP7+/gqZ02Fb\nNCvtu7A+PJN27dqlkMjmN2/eZFzI07FjR8YFZ/+mDu3Ef1N2P5IvKrEI6vr163j16hXjMWzhifnW\nvHlz1q/SpdkSDwA2btwIPT09xmP8/PwwY8YMzvfGLSgowI4dO2QK6dyxY0fGegcHB3O+Hd2/ffrp\np2jVqpXY9PLycsybNw8FBQUyl5GdnY1Ro0YhLi5O5jwkIcnWiPJumZSYmIiRI0eyhvwjH/Tv358x\nPS4uDhs2bJCrjKKiIkybNg2XLl2SK5/6rGHDhqwLM0JDQ1m/smJTVVWFBQsWICYmRq58hO7JkyeY\nMGGCXHsAR0REYPbs2YyDcLq6unKfM1Uxa9Ys1sm827dvo3fv3rxsf1qjqqoKwcHBGD16NAYOHIi/\n//5b6jx69+7N+mX36tWrpeqI1iU7OxuTJk0SfCcO+PA1PFuUjHfv3mH48OH4448/OC8/Pj5e5sma\nbt26Mabz3Ynr0qUL5syZw3hMdnY2BgwYwBqpRF7379/H/Pnz4ejoKFP0KWNjY8ydO5fxmGvXrskd\nzaeqqgrz58/H7du35cpHVQQFBcHZ2Rne3t68tcWLi4vh7e3NuGhs4MCBUk+wd+/eHS1atBCbXlZW\nhnnz5snVv3v37h1GjhyJO3fuyJyHupo0aRLjOTt+/DjOnj2LoqIiscdMnDhRraNvqPJvxNYPi46O\nZt1SmU1hYSGmTp2qsEUp6uKTTz5h7XtlZWVh9OjRci0uKy0txdSpUxEdHc14nIODA7y8vGQuBwBr\npI1t27bJ/Q76+eefFRqxT9ltOKG2f729vRknmQDgzJkzci9cf/DgAcaNG8f4fAWA7777jnERPeGf\nSCTCli1bWCfEVq9ejZkzZ8o1TsImNzcXO3bsQNeuXaXaUvLly5f4/PPP0bNnTxw9epTT6HYf2759\nO2M/SV9fX2UXlzdo0IB1/Km4uBhjx46Va2y+uroa3377LetWqy1atGDtBxN+Mb1Hy8vLOfv4rz5p\n1qwZfvjhB8ZjSkpK4OXlha1bt/K6cPP58+f4/vvv0blzZ863uuWDvb09dHV1xaZfuXKF94UJGzZs\nYN3S9ODBgxg9ejSvux0UFRXhyJEj6N69u1TPyZycnNoxvd9++423YBfnzp1jHJ8UiUQYPHiw1Pmq\n+zPp8OHDcHBwwNdff83bh67v3r3DvHnzGI+R9tyoQzvx35Tdj+SLSiyCYls81KxZM5VoLLOFbgwO\nDpbqQd+2bVvWr3+ADw/QXr16MX6lLKmXL19i48aN6Ny5M1asWCHTi0lbW5sxdHh5eTnGjx+Pq1ev\n8roCmC1k7Z07dzBu3DiZJlJv3LiBgQMHIjY2VtbqSWz8+PGMA8h5eXnw8vKSaTV8VVUVdu/eDQ8P\nj/+Z9NbU1JQ6v/qidevWcHJyYjxm06ZNWL16tUyryO/evYsBAwbUuQCKzot0fHx8GCcaAWDPnj1Y\nsGABysrKpM6/qKgIs2bN4n2SXVX9+9kUHR2NQYMGSR0Cs7q6Gvv378e4ceNQXFzMeKyPj4/KhkqX\nlpaWFg4cOMA6gP3ixQsMGTIEa9euRVZWFmflP3/+HJs2bYKjoyPGjx8v90TDhg0bGN9XlZWVmDFj\nhswRDNPS0jB8+HBBb4P3bxs3bmSNapaTkwMvLy/85z//kbszXl5ejqtXr2LkyJEYOHCgzNE53d3d\nGdNPnjyJhQsX8jrAsWrVKsZomcCHZ/SXX36JmTNncjrwk52dDV9fXwwaNAi9evWCv78/ysvLZc5v\n4cKFrNus7Ny5E4sWLZLpXVVYWAhvb2/8/vvvslZRJVVWVuLMmTMYNGgQevfujd27dyMzM5OTvFNT\nUzF48GDW6F4zZsyQOm+RSMS6pWtcXJzM/ZSIiAgMGDAA8fHxUv/b+sDS0hI9e/YUm37nzh3WwZvJ\nkydzXS2Vosq/kbW1NesXsuvWrcPatWtl6ofduXMH/fv3r3PbNuqHsVu8eDHrQpHnz5+jX79+CAsL\nkzr/1NRUeHh4sG6rp6mpia1bt8p9zqZNm8aYR0lJCcaMGSPTIui//voLs2bN4ix6maRUoQ0nxPZv\ngwYN8Msvv7Ae5+vri7Fjx+LNmzdSl3Hy5El4eHiwtmUcHBwwe/ZsqfMn3OvatSuWL1/Oetzp06fh\n7u6Oc+fOcRaRtbKyEtevX8fcuXPRvn17rFixQuYttB8+fAgfHx906NAB3333HWcfYJWWlmLFihX4\n73//y3jcuHHjVDqy0dSpU+Hi4sJ4TFZWFjw8PFh3MqlLZmYmxo8fzxotC/iwcNbQ0FDqMgh32N6j\nW7duxdq1a3lbSKGu5s6di0GDBjEeU1FRgVWrVsHLy4vTvm5BQQECAwPh5eWFbt26Yffu3ZwHnOCL\nrq4u4/OprKwM48aNQ3BwMG/zsBYWFti6dSvrcTdu3ECvXr3g5+eH0tJSzsqPjY3F4sWL0b59e3z9\n9dd48uSJTPm8ePECy5YtQ8eOHfHVV1/h5s2bnPxmVVVV2LFjB2sET3d3d5nmO+rDM6m0tBRHjhxB\njx494OHhAT8/P87+nsTERPTr14/xIx1NTU18/vnnUuetLu3EGqrQj+SDlrIrkJOTwzrAMWbMGMYt\nMRRl5MiRWLJkidgJ3IqKCgQGBkr11dHcuXORkJDAOmnx/PlzeHl5wcnJCTNmzMCwYcNgbGzMmn9V\nVRWePHmC69ev4+zZs4iPj+dkNbWXlxfjoFZGRgYmTpyIZs2awdnZGdbW1jAxMYGBgQHjIJODgwM6\nd+4sUR1mzJiB7du3IycnR+wx0dHRcHR0xLJlyzBp0iTGTldpaSmioqKwa9cuhIaG/k+6jo4OPvvs\nMxw6dEii+knKxsYGgwYNYhyoyczMxKhRo/DZZ59h7ty56NSpE2Oe+fn5OHv2LHbu3ImUlJQ6j1m0\naJHcX9Gqs/nz52PatGmMx/z6668IDQ3FN998gxEjRkBLS/wjtbq6GpGRkThw4ADOnz9f531oZ2cH\nGxsbXLhwQe761xf6+vrYsmUL6yJVPz8/3LlzB+vXr0efPn0kyjs4OBjLli2rc8sae3t7uSO0qTpN\nTU1MmzYNvr6+//j///zzT/Tq1QvTp0/HvHnzGCdCqqqqcO3aNfzyyy8SRSext7fHd999J3fdVUmb\nNm1w8OBBTJ48mXGyrqysDJs3b8bOnTsxadIkeHp64tNPP5VqK+Ds7GzEx8cjMjISISEhnH8N5ODg\ngHnz5mHXrl1ijykvL8eCBQsQGhqK1atXS9TBKy0tha+vLzZs2FDntidCvt+MjY3h7++PoUOHMn7x\nXVVVhb179+L48eP4/PPPMX78eHTp0kWiMnJzcxEfH48LFy4gKCiIkyhaLi4uaNmyJWOk1sOHD+Po\n0aNwdnZGx44d0aJFCxgYGDBulaOpqYnPPvtMojro6uoiICAAgwcPZg2NfPr0aZw5cwYDBw7ElClT\n0LNnTzRq1EiicoAPX/fevXsXMTExCA0NRVxcHKehsg0MDPDrr7+yRkbw9fVFfHw8NmzYwBqBtsbV\nq1exfPnyOreOE/K9829JSUlISkrC8uXL4ezsjIEDB6JHjx5wdHRk/DLyY1VVVbh9+zYCAgJw7Ngx\n1oVtgwcPRvfu3WWq7xdffIGdO3cyDtxERUWhW7duWL58OSZOnMj4vC8tLUVkZCR27txZ54cxurq6\nmDRpEg4fPixTfdXN5MmTGRctpKWliU1zdXVlXeShDlT5N5o/fz7rIPLmzZsREhKCRYsWYdiwYaz9\nsFu3bmH//v1itwXq0KEDWrduTVF6Wejp6eHAgQMYOnQo4+RGZmYmxowZAw8PDyxYsIA1mmhaWhr2\n79+PAwcOSDRpsmLFCtbtByRhYWGBsWPHIjAwUOwx+fn5GDFiBCZPnowlS5awtm0fPXqEwMBA7N27\nt86235w5c7B37155qy6WKrThhNr+7devH7788kvs3r2b8biwsDB8+umn+PLLL+Ht7Q1zc3Oxx1ZX\nV+P69evYsmWLRIvpjIyMcODAAVqUqUJqIhOwjds/e/YM06dPh6WlJWbPno3+/fvD1tZW4qiJ1dXV\nePLkCeLi4vDHH3/g+vXryM7O5uJPqJWdnY19+/Zh3759aNmyJTw8PNCrVy+4urqiSZMmEufz6tUr\nXLhwAbt27WKdcNPT08PixYvlrTqvRCIR9uzZA3d3d8ZnSUFBAebOnQs/Pz9888036N+/P+N81du3\nb3Ho0CHs2rVLou2rvb29MXToUJn+BsIdDw8P6Ovri31/VVZWYvPmzdixYwdcXV1hZ2eHZs2awcDA\nADo6OmLzNTY2xqhRo/iqtsoTiUTYt28fPDw8WMcqw8PDER4eDhcXF3h7e8PNzQ3NmzeXuKyysjLc\nv38fMTExuH79OiIjI3mLhKcIY8aMQUREhNj0V69eYfz48WjevHntPKyxsTEMDQ0Zn1GOjo6sc4w1\nvLy8kJyczLpg/M2bN1iwYAHWrl2LL774AoMGDYK9vb1U7Zr09HTEx8fjjz/+QFhYGOdbpRUUFCAg\nIAABAQFo0qQJBg0aBHd3d7i4uDDuPPRvWVlZuHz5MuP8aw2RSMQaDU2c+vZMio6ORnR0NL799lv0\n7NmzduzP3t6esc//sfLyckRFReHQoUNi52E/5u3tLdW5/5g6tRNVoR/JB1Fubi7/G0Mz2LNnD5Yu\nXcp4zI0bNyReGMO3GTNm4OzZs2LT7ezspN4yqbS0FGPHjsXNmzcl/jeampro1KkTOnXqBAsLCxgb\nG0NXVxcFBQXIzc1FTk4OHj16hKSkJMYt4X766SeZvjAqLS1Fly5dZNpSh8ny5cuxZMkSiY8/cOCA\nxJ0pXV1duLm5oUOHDmjSpAkMDAyQnZ2NrKwspKam4tatW4wDNJs2bYKenh4WLFgg9pjk5GTWqDR1\nefz4Mdzc3CSOMtC2bVs4OzvDysoKJiYm0NbWRkFBAV6+fIkHDx7gzp07jJEEnJyccPHiRcZ9z6U9\nFx+rqKhA48aNeclbkTw8PFjD8NcwMTGBk5MT7O3tYWpqioYNG6KkpARv375FSkoKYmJiGCO86Ojo\nIDg4GL/99pvYl2br1q1ZIxYw6dChAzIyMupM69OnD86fPy9z3vKU/fnnn8sduvO7777Dvn37JDq2\nc+fO8PT0hKurK9q1awdjY2NUV1cjNzcXT548QWRkJM6ePSu2U2ZsbIzjx48zDk7s3bsXEyZMkOlv\nUaTZs2eLvd40NTWRlpYGV1dXxsZPx44d4ezsjNatW6Nhw4YoLy9HVlYWHj9+jJs3b0rcIDM2NkZo\naCisra1l+ltq/PHHHxg9erTYdGWdm8DAQMybN0+qFf/a2tpwcHBA+/btYWpqChMTE5iYmKCyshKl\npaXIycnB27dv8eLFCzx58kTiFf/h4eFS70Neo7S0FAMGDJBoYYWGhgYGDhyIoUOHomvXrrC0tISh\noSHKysrw9u1b/PnnnwgPD8fp06fFPh9dXV0xduxYfPvtt2LLefz4MeP7jImvry8WLVrES94fu3z5\nMqZNmyZVNKEmTZqgW7duaNu2LczNzWFgYICKigrk5uYiNzcXf/31FxITE5Gamio2j6ZNm7J2xsXZ\nuXOnzJ10cXR1daX+cj45ORkjRoyQunNna2sLBwcHNGrUCKampjA1NYWGhgZKS0uRl5eHzMxMvHr1\nCk+fPkVaWppEi57WrFkj8xaDAPDtt99K9AUw8GHR4ejRo+Hi4vI/76qUlBRERkbizJkzePz4cZ3/\n3tTUFEePHsXw4cPFlnHw4EGMGTNGpr+Fb2PGjJEoioi2tjbatWsHa2trNG/eHObm5tDX14eOjg5K\nSkpQWFiIv//+G0+ePMH9+/cl3hra1NQUERERsLCwkPlvkKSfW6NBgwZwc3ND+/bt/9FPyczMRGpq\nKiIjIxn7Kb/88gtEIhFvzzNvb2+cOXOmzjRZ7mu+FRYWwtbWVqat0Xfs2CHTV4DSKCkpYZw0X7ly\nJb755hte66DKv1F1dTUGDx4s8TZkJiYmcHZ2RqdOnWBqagpDQ8N/9MNiY2MZ+2G6uroIDQ3Fli1b\nxF7n1tbWcn2RznQPyZu3Mvj5+TGOi/xb8+bN0aNHD1hbW8PU1BRaWlooKChAamoq4uPj8eDBA4nz\n8vT05PTDtIyMDDg7O0t8L3To0AE9evRA06ZN0ahRIxQVFSEzMxN///03oqKiGPtNLi4uOHXqFGOU\nJC7uf1Vpwwmx/VtRUQFPT0+Jx2c1NDTQpUsXODo6wsrKCoaGhigvL8e7d+/w+PFjREZGShzFUlNT\nE/7+/vDw8JCp7h+zsbER+5V2//79WbfkkkVKSgqcnZ3FpvP1bmPrz4WEhLBGemdTXl6OKVOmSB1l\nzMzMDM6a9QzgAAAgAElEQVTOzmjZsiVMTExgamoKAwMDlJWVobi4GJmZmXjz5g2ePXuGp0+fSrRQ\npn379hKPU54+fZp1UXGN5s2bw9bWFpaWljA3N4exsTEaNGiAyspKFBYW4v3793j69CkeP34stv9R\nF1nnHZQhLCwMEyZMkPhjGDMzM/Ts2RN2dnZo3LgxdHR0UFBQgBcvXuDu3btISEiQOMqIq6srzp8/\nzzhhLQlF3A+yls3V2IoiSDPGLClJ23urVq1ijLrD5+/IVDZXfb6MjAwMHTqU8YOLulhaWsLJyQmN\nGzeuHR/V0dFBaWkpCgoK8PbtW2RkZODZs2d49uyZRBG2Z82aJYgAAcXFxejcuTNnUbFryPJe/uab\nb6RuhxsZGcHJyQmWlpa1565m/qCkpKT2XZiWloaUlBTGgBc1DAwMJB4Dj4+Px8CBAyU6tnHjxrCz\ns4OVlRXMzc1hZmaGBg0aoLq6GkVFRXj//j1SU1Px+PFjPHz4UOJn/Pz587F27VqJjq2LMp9JfHNy\ncpIouleDBg1gbW0NGxsbNGvWDE2bNoWenh60tbVRVFSEwsJCZGRkICUlBffv35eoTQUAVlZWiIiI\nkCjgjDhCbSfWRVX6kVxSeiSogIAAxvT27durzAIo4MPWZUyLoB49eoT4+HipGpS6urr4/fffMWXK\nFIlDhldWVuLevXu4d++exOVwSVdXF6tXr1Z6R2bmzJm4evVqnZGb/q20tBRhYWEyhWX/8ssvMWfO\nHJm3+GFja2uLlStXSvyAqWnQyaJ169YICAigL8sksHv3bvTu3VuiF0xubi5CQkIQEhIidTkaGhrY\nu3cvJ1+z1lfr16/HkydPEB4eznpsTTQJWYhEIuzYsYNx4kqdNGzYEAEBARg6dKjYUMHJyclITk6W\nqxwdHR34+fnJvQBKlU2YMAGGhob44osvWLcErFFeXo74+HiV6JTU0NXVxfHjxzFgwADWhdA1kcBk\n3ZKtUaNG2L17NyfbASvb0KFD4efnh+nTp0scFjozMxNXr17luWbizZo1C35+fjJPInGlY8eOCA4O\nxpgxY5Ceni7xv5N2gF4RNm7ciCdPnki0xXFiYiISExNlKkdDQwO7du1C06ZNZfr3QlJeXo4///yT\n08h3DRo0wOHDh+VaAAV8WGh89epVibYiLSkpQWhoqER9mn/z8fHBzJkz/ydyY31mYGCAESNGSL2d\nsb6+PuNCanWiyr/RxxEZJO2HBQcHIzg4WOqyNDQ0sH//ftbtV8k/TZ06FXl5eRKPX2RkZODUqVNy\nlztkyBDOJwCaN2+OzZs3Y+7cuRId//DhQ5m2braxsUFAQIDEXzDLQ1XacEJs/2ppaeH48eMYM2YM\nYmNjWY+vqqrC3bt35fpYDfjwLNqzZw8nC6AI97S1tREQEAAfHx+p3pvZ2dlKvZ6lkZGRIfbDRVlN\nnz5d6fMG0ujfvz8OHDiAmTNnSvTxWnZ2NoKCghAUFCRXud26dUNgYKDcC6AId/7zn//gzJkzjIvo\niWyaN2+O4OBgjBs3Tqp5zfT0dKnGg9SJnp4efvzxR8ybN0/ZVcGWLVtgZmYm0RbCNfLy8mSaj1WG\nrKws3Lp1S6atsMUZNGgQVq1aJVce9Ez6MGZ2//59TqPdm5qaIiAgQK4FUIB6tRNVpR/JJaXuMZeY\nmMh60bJtcaRoAwYMYN1ew9/fX+p89fT0cOLECcyZM0fWqinc+PHjlV5fkUiE/fv3o0OHDryV4e3t\njfXr1/OWf4358+djxowZvJZhaWmJM2fO1ItJMS5YWVnB39+fMZyfvDQ1NbFlyxZ4enryVkZ9oKWl\nhSNHjsi8bY2kVq1ahZEjR/Jahqrp0qULDh06xNt9oK+vj4CAAIm3KRSyYcOG4cqVK4Jf7NWyZUuc\nOnVKqpD50mrQoAECAgJk2i9dVXl4eODixYuMX/+rEl1dXRw9ehRmZmbKrgratWuHsLAwDB48WNlV\nkYu2tjaOHj2KTz/9lNdyVq9eTVspyMjY2BgnTpzg5J2koaEBX19f2NraclCzus2aNQtr1qzhLX8h\nmzx5stT/Zvjw4WjYsCEPtVFNqvwbtWnTBn5+fhJvdykLLS0tbNu2rd617bkyf/58bN++XWGTtlOm\nTIGfnx+0tbU5z3vixIlSRbaSlrW1Nc6ePSvVVr3yUKU2nNDavwBgaGiI06dPK2xBkqGhIfz8/DBu\n3DiFlEdko6Wlhd27d2P9+vW8vpvUxZw5c7BlyxZlV0Nqo0ePRkBAAIyMjBRS3qBBg3D27FmFlUck\n06hRIxw5cgR6enrKropaatq0KS5fvixTX6S+mjx5Mr744gtlVwPAh22pDxw4QM8tCYwaNQp+fn5y\nfwRBzyTutWjRAufPn0fHjh05yU9d2omq1I/kilIXQbFFgRKJRCrXCdTW1mZdrHD27FnG7QqY8t60\naRMCAgJk2lJNGTZt2oS1a9cq9QFsamqKc+fOwdHRkdN8NTU1sWbNGvz6668S780pr19//RXLly9n\n3K9XVq6urggLC0Pr1q05z1ud9e7dG0FBQbzck0ZGRvj9998xbdo0zvOuj4yMjHD27FleJslFIhHW\nrl2Lr7/+mvO8hWDQoEE4d+4c5w2gVq1a4cKFCxKHpVUHDg4OiIiIwFdffaXwL/1EIhHc3Nw4CZ3d\nqVMnXLlyhZd3iomJCc6cOQMXFxfO81Y2Jycn3LhxQ+UW+Ytja2uL0NBQzttYsmjcuDECAwOxdetW\nhU0ifszOzg5dunSROx9jY2OcO3cOAwYM4KBW/6ShoYGNGzdi/vz5nOddH/Tt2xfh4eFwd3fnLE8z\nMzOcP3+e82ifmpqaWL9+vSDC9yuLm5sbLC0tpfo3n332GU+1UU2q/hu5u7vjwoULaN68Oed5m5iY\n4OTJk7xvfajupk6diosXL6Jt27a8ldGwYUNs3boVO3fu5LXtvHr1asbtl2Xl7u6OkJAQhY/xqVIb\nTmjtX+DDwqRjx47hv//9L68TGZ07d0ZISAjj9sVEtcybNw9hYWFK6asaGRlhyJAhCi9XGubm5jh4\n8CA2bdqksLF0rg0ZMgShoaHo2rUrb2Xo6Ohg2bJlOHHiBC0kUFE9e/bE5cuX0a5dO2VXRS0ZGBjg\nt99+w9GjR9GqVSuFl9+qVSu4uroqvFx5bN68GatXr+b1Y31JjR07Frdu3VLKO0lPTw8jRoxQeLnS\nMDIywqZNm3D48GHOzhc9k7jj5eWF8PBwXnYgU4d2oir1I7mgtEVQpaWlOHnyJOMxPXr0UMmvhdg6\n7nl5eTh//rzM+Q8bNgxxcXFYsmQJTExMZM6HSYcOHfDzzz9j4sSJcuc1f/58xMXF4csvv0Tjxo05\nqJ30alaQz5s3j5Nt3jp27IjQ0FD4+PhwUDvJiUQiLFmyBGfOnOFssNfIyAgbN27ExYsXlXZ+hK5m\n0I7LxTWenp6Ii4tD//79OcuTfIgqdOLECaxatYqzQXJzc3McP3683k8qu7i4ICoqCsOGDZM7Lw0N\nDXz22We4efMm7xFRVJG+vj7WrVuH2NhYTJw4kfcvBKytrfHDDz8gKSkJFy9e5Oz90q5dO0RERGDM\nmDGc5Ad8eN6GhoaiR48enOWpaszMzLBv3z5cvHiRt0EXfX19TJkyBSdOnJA7rzZt2iA0NBS+vr5w\ndXVV+mD29OnTkZCQgMWLF/O+GKpRo0aYNWsWwsPDERMTg969e3OSr6GhIX7//XesWLGCs3dV8+bN\nERgYKPF2Pqrup59+wpo1a9CzZ0/etw6ysLDAkSNHcPbsWbRp04bz/M3NzXHlyhXMnTuXkw8d7O3t\nERYWphLh8FWZSCSSqq/bsmVLzu5xoRDCb9S9e3dERERwunC0Zpurvn37cpZnfebs7IzIyEgsXbqU\n04lcTU1NjBs3DjExMZg+fTpn+TJZsWIF/P39Odn63NDQEJs2bcKZM2d4G9djo0ptOKG1f4EPz8hF\nixbVTvJx+fs1adIE69atQ3h4ONq3b89ZvkQxOnXqhKtXr8LPz4/XhTLAh2fhwIEDcfDgQaSkpGDl\nypUS/9vBgwfj4MGDGD9+PO9f9Ovo6MDHxwfx8fGcjg8oi42NDUJDQ7Fp0yZOPiL72KBBg3Dz5k18\n9913vHwETbjTtWtXREVFYevWrbR1Mk9GjBiB27dvY82aNbzPAzds2BCfffYZgoKCkJSUBC8vL17L\n48OCBQsQFxeHuXPnKuXjwI9ZWFjgxIkTuHDhAnr16sVrWSKRCK6urti+fTseP36MPXv2SPxvO3fu\njICAAEybNo2Xj2s+VjPfcefOHcyZM4fztrc6PpN8fX3x/fffo1u3brz3VTp27IiLFy/C19eX152S\nhNJOZKJK/Uh58b8ZvRhv3rxh3UpNVbfGcXZ2xsqVK1FSUiL2GH19fbnKMDAwwPLly7Fw4UIEBgbi\n1KlTiImJQVVVlcx5duzYEf3798fw4cPh7OwsV/3+rVWrVtiwYQPWrVuH27dvIzY2Fg8ePEBaWhr+\n/vtv5OTkoKSkBOXl5aiurua07BoNGjTA+vXr8fnnn2Pr1q04f/484zmqi4ODA+bPnw9PT09OFlPJ\nyt3dHXfv3sXx48exbds2pKamSp2HpaUlZsyYgWnTpsHU1PR/0kUiEeNX6VwM/KmTRo0aITAwEPHx\n8fjll19w7do1qa9lfX19jBo1CnPmzBH721taWopNE0qEOGUTiURYuHAhRo8ejR9//BEXLlxAZWWl\n1Pk0bNgQ06ZNw+LFi5U2cK1qzM3NERAQgKioKGzfvh0hISFS/bY6OjoYNWoUfHx8eFltLzStW7fG\nnj17sHbtWhw/fhxBQUG4ffu2XO964EN0Azc3N/Tp0wfu7u68br9nZGSEgwcPYurUqfjxxx+RkJAg\nUz4WFhZYuHAhpk+fXm8GAt3c3HDlyhUkJCTA398fQUFByMzMlDk/Y2Nj9OnTBwMGDMCoUaPk3tP8\nYxoaGvDy8oKXlxfevHmDW7duISEhAU+fPsXLly+RlZWF/Px8lJWVyfS8lZaxsTF++OEHLF68GOfO\nncO5c+cQERGB4uJiufLV1dWFk5MT3N3d0adPHzg6OvLWHtTQ0MC3334LT09P/PjjjwgKCpLp3jcy\nMsL06dPx7bffcnrOla1t27bw8fGBj48PcnNz8ccffyAqKgrx8fF48OABysvL5cq/YcOGGDZsGCZM\nmIA+ffrw/tzR09PDxo0bMXXq1Np+SmlpqVR5ODo6Yv78+Rg1apRS+ylCMmnSJPz0008StdknTpwo\n6IEdWQnhN2rSpAlOnTqF2NhY/PrrrwgODpapH+bp6Yk5c+aIbYO2bt1abD/MwsJC6nrXJw0aNMDS\npUsxb948+Pn5ITAwEPfv35cpr2bNmsHLywszZ87kZWEqm+HDh6NPnz44cOAADhw4gNevX0v17xs1\naoQZM2Zgzpw5vG4dLSlVa8MJqf1bw9raGidOnEBycjIOHjyI8+fP4927dzLl5eTkhIkTJ2Ly5Mm0\npYkaGDlyJEaOHInbt28jMDAQV65cwatXr+TO19raGn369EGfPn3Qq1cvmcejDA0NMWbMGIwZMwZV\nVVWIj4/HjRs3EBcXh9u3byMnJ0eueopEInTv3h3jx4+Hp6dnnWPPQqapqYk5c+Zg2rRpCAwMxPHj\nxxEbGyvTvIapqSlGjRoFb29vGgsTGB0dHUyfPh3Tp09Heno6IiMjcffuXTx79gwZGRnIyspCQUEB\nysrK5B7Lq690dXXh4+ODefPm4fLlyzh79ixCQ0ORl5cnV75aWlro2rUr+vTpg969e6N79+6C3qaq\nhoWFBTZu3PiPedjk5GSFzsN+rHfv3ujduzcePXqE48eP49KlS3j69Knc+bZq1ar2XdinTx+ZF63o\n6upi2LBhtR9137t3DxEREYiLi0N8fDzevHkjd13t7e0xfvx4jBs3jvc5VXV7Jtnb28Pe3h7/+c9/\nkJmZidDQUMTGxiIuLg6PHj2S+28wMzODp6cnxo8fj+7du3NUa8moejuRjar1I2Ulys3N5f9JSDiR\nlZWFmJgY3L59G48fP0Z6ejrevn2LoqIilJSUQFdXF4aGhjA0NISpqSnatWsHa2tr2NjYwMXFhfMv\nF1Rdfn4+QkJCEB0djeTkZLx48aK2EaCjowNDQ0OYm5ujffv26Nq1K4YMGaKSW8VVV1fj/v37uHXr\nFqKiopCeno6cnBxkZ2ejrKwM+vr6MDQ0RKtWrdC2bVvY29ujb9++sLOzU3bV1VrNg//WrVt48OAB\n3r17h+zsbOTn50NXVxcGBgZo0qQJ2rZtC1tbW7i5ucHV1VUtGttC8+LFCxw7dgzBwcFITExkbDwZ\nGRnB1dUVHh4e8PT0VKsJ5brMnj0bv//+e51pmpqarIO7OTk5CAkJQWxsLP7880+kp6cjPz8fhYWF\n0NHRgZGRESwtLdG+fXv06tUL/fv3V7uBMa5lZWXh9u3bSEhIwOPHj/Hq1Sv89ddfKCgoQHFxMaqr\nq2FgYICGDRvC0NAQxsbGsLKygo2NTe0738bGRmkLieLi4nDy5EmEhoayLuBt1qwZ+vXrh6FDh2LI\nkCH1flK/srISSUlJiI2Nxb1795CWloZXr17h/fv3/zj3hoaGaNiwIVq0aAFra2vY2tqiU6dOvC7Y\nEYKioiIkJCTg7t27ePDgAV6+fInXr1/j/fv3KCkpQVlZWe3vV/MbtmzZsvbesba2Rvv27ZU2IZWe\nno6AgACEhITg3r17rO+qnj17wsPDA6NHj653WygUFxcjMTERKSkpSE1NRWpqKtLT05Gbm4vCwsLa\nAZ+aZ6WRkRFMTExgZ2cHe3t7dO7cGZ06dVJqGPm8vDyEhIQgJiam9nrNyclBcXFxbZ+uWbNmsLOz\ng6OjI4YMGQIrKyul1ZcQVfLmzRvcvHkTt27dQnJy8j/6YQ0aNIC+vv4/+mG9evWCi4sL9cMULC0t\nDZGRkbhz5w6ePn1aOx5TXFyMysrK2nGMli1bonXr1ujSpQt69OiBLl26qMyC+OrqasTExCAiIgJ3\n796tnVwqKipCdXV17dibjY0NOnXqhL59+8LV1bVet8ekJcT2b0VFRe2kY1JSElJTU5GRkVHbX9PU\n1IS+vj7MzMxgaWmJdu3awdnZGT169KAP2+qBR48e4c6dO0hMTKy9njMzM1FcXIySkhJoa2vX9kcM\nDQ3RpEkTtGvXrrZP0r59e4WM31dXV+PJkyd48OABnj9/Xtumfvv2LQoLC2v/09HRQcOGDWvb1JaW\nlrXt6S5duvAaSUEV/fXXX4iKikJcXByePHmC9PR0vHv3DsXFxSgvL4e+vj4MDAzQvHlztG7dGvb2\n9ujevTucnJygra2t7OoTIhhlZWVITExEQkIC7t+/jxcvXuD169e1c3ulpaXQ09P7x/O0efPm/xjf\n6dChAxo2bKjsP6VeSk1Nxe3bt2sX57x+/bp2HrumrfTxuWvUqFHtXLa1tTXs7OwUtk1iWlpabXsu\nNTUVz58/x5s3b1BQUID8/HwUFRVBU1PzH+/CFi1a/ONdqIq7WamD/Pz82kU3NefnxYsXeP/+fW07\npaKi4h9jf2ZmZujQoUPt+enYsSPv0eWlIZR2ojqhRVCEEELqjeLiYqSkpODVq1coKChAZWVl7UKS\nNm3aKGUfcmWSdxEUIUyys7ORkpKCN2/eoLCwsLaT26hRI9ja2tKCOELEKCoqQkpKCl6/fv0/76q2\nbdvSAAshhBBCCCGEEEIIIYQQIgYtgiKEEELqKVoERQghhBBCCCGEEEIIIYQQQghRF6oRY5oQQggh\nhBBCCCGEEEIIIYQQQgghhBBCZESLoAghhBBCCCGEEEIIIYQQQgghhBBCCCGCRougCCGEEEIIIYQQ\nQgghhBBCCCGEEEIIIYJGi6AIIYQQQgghhBBCCCGEEEIIIYQQQgghgkaLoAghhBBCCCGEEEIIIYQQ\nQgghhBBCCCGCRougCCGEEEIIIYQQQgghhBBCCCGEEEIIIYJGi6AIIYQQQgghhBBCCCGEEEIIIYQQ\nQgghgkaLoAghhBBCCCGEEEIIIYQQQgghhBBCCCGCRougCCGEEEIIIYQQQgghhBBCCCGEEEIIIYJG\ni6AIIYQQQgghhBBCCCGEEEIIIYQQQgghgkaLoAghhBBCCCGEEEIIIYQQQgghhBBCCCGCRougCCGE\nEEIIIYQQQgghhBBCCCGEEEIIIYJGi6AIIYQQQgghhBBCCCGEEEIIIYQQQgghgkaLoAghhBBCCCGE\nEEIIIYQQQgghhBBCCCGCJsrNza1WdiUIIYQQQgghhBBCCCGEEEIIIYQQQgghRFYUCYoQQgghhBBC\nCCGEEEIIIYQQQgghhBAiaLQIihBCCCGEEEIIIYQQQgghhBBCCCGEECJotAiKEEIIIYQQQgghhBBC\nCCGEEEIIIYQQImi0CIoQQgghhBBCCCGEEEIIIYQQQgghhBAiaLQIihBCCCGEEEIIIYQQQgghhBBC\nCCGEECJotAiKEEIIIYQQQgghhBBCCCGEEEIIIYQQImhayq4AER4TExNlV0EhqqurlV0FwiGRSKTs\nKihEfblu68v5JIQQQrhE7QRCVBfdn4Sorvpyf9YX9BwihBDCpfrSTqgv78/6cj6Jeqkv92dubq6y\nq0AEhCJBEUIIIYQQQgghhBBCCCGEEEIIIYQQQgSNFkERQgghhBBCCCGEEEIIIYQQQgghhBBCBI0W\nQRFCCCGEEEIIIYQQQgghhBBCCCGEEEIEjRZBEUIIIYQQQgghhBBCCCGEEEIIIYQQQgSNFkERQggh\nhBBCCCGEEEIIIYQQQgghhBBCBI0WQRFCCCGEEEIIIYQQQgghhBBCCCGEEEIEjRZBEUIIIYQQQggh\nhBBCCCGEEEIIIYQQQgSNFkERQgghhBBCCCGEEEIIIYQQQgghhBBCBI0WQRFCCCGEkP/Xzh2dMBBC\nARBESP+12oEpIH/hiGzeTAXvUDw/FgEAAAAAACBNBAUAAAAAAAAAAKSJoAAAAAAAAAAAgDQRFAAA\nAAAAAAAAkCaCAgAAAAAAAAAA0kRQAAAAAAAAAABAmggKAAAAAAAAAABIE0EBAAAAAAAAAABpIigA\nAAAAAAAAACBNBAUAAAAAAAAAAKSJoAAAAAAAAAAAgDQRFAAAAAAAAAAAkCaCAgAAAAAAAAAA0kRQ\nAAAAAAAAAABAmggKAAAAAAAAAABIE0EBAAAAAAAAAABpIigAAAAAAAAAACBNBAUAAAAAAAAAAKSJ\noAAAAAAAAAAAgDQRFAAAAAAAAAAAkCaCAgAAAAAAAAAA0kRQAAAAAAAAAABAmggKAAAAAAAAAABI\nE0EBAAAAAAAAAABpIigAAAAAAAAAACBNBAUAAAAAAAAAAKSJoAAAAAAAAAAAgDQRFAAAAAAAAAAA\nkCaCAgAAAAAAAAAA0kRQAAAAAAAAAABAmggKAAAAAAAAAABIE0EBAAAAAAAAAABpIigAAAAAAAAA\nACBNBAUAAAAAAAAAAKSJoAAAAAAAAAAAgDQRFAAAAAAAAAAAkCaCAgAAAAAAAAAA0kRQAAAAAAAA\nAABAmggKAAAAAAAAAABIE0EBAAAAAAAAAABpIigAAAAAAAAAACBNBAUAAAAAAAAAAKSJoAAAAAAA\nAAAAgDQRFAAAAAAAAAAAkCaCAgAAAAAAAAAA0kRQAAAAAAAAAABAmggKAAAAAAAAAABIE0EBAAAA\nAAAAAABpIigAAAAAAAAAACDtdXsAAGC2c87tEX5irXV7BB5k31JkPSmact4C3OaeANzm3vdfpvxX\npnznFFPWc8p5O2U9gU9eggIAAAAAAAAAANJEUAAAAAAAAAAAQJoICgAAAAAAAAAASBNBAQAAAAAA\nAAAAaSIoAAAAAAAAAAAgTQQFAAAAAAAAAACkiaAAAAAAAAAAAIA0ERQAAAAAAAAAAJAmggIAAAAA\nAAAAANJEUAAAAAAAAAAAQJoICgAAAAAAAAAASBNBAQAAAAAAAAAAaSIoAAAAAAAAAAAgTQQFAAAA\nAAAAAACkiaAAAAAAAAAAAIA0ERQAAAAAAAAAAJAmggIAAAAAAAAAANJEUAAAAAAAAAAAQJoICgAA\nAAAAAAAASBNBAQAAAAAAAAAAaSIoAAAAAAAAAAAgTQQFAAAAAAAAAACkiaAAAAAAAAAAAIA0ERQA\nAAAAAAAAAJAmggIAAAAAAAAAANJEUAAAAAAAAAAAQJoICgAAAAAAAAAASBNBAQAAAAAAAAAAaSIo\nAAAAAAAAAAAgTQQFAAAAAAAAAACkiaAAAAAAAAAAAIA0ERQAAAAAAAAAAJAmggIAAAAAAAAAANJE\nUAAAAAAAAAAAQJoICgAAAAAAAAAASBNBAQAAAAAAAAAAaSIoAAAAAAAAAAAgTQQFAAAAAAAAAACk\niaAAAAAAAAAAAIA0ERQAAAAAAAAAAJAmggIAAAAAAAAAANJEUAAAAAAAAAAAQJoICgAAAAAAAAAA\nSBNBAQAAAAAAAAAAaSIoAAAAAAAAAAAgTQQFAAAAAAAAAACkiaAAAAAAAAAAAIA0ERQAAAAAAAAA\nAJAmggIAAAAAAAAAANJEUAAAAAAAAAAAQJoICgAAAAAAAAAASBNBAQAAAAAAAAAAaSIoAAAAAAAA\nAAAgTQQFAAAAAAAAAACkiaAAAAAAAAAAAIA0ERQAAAAAAAAAAJAmggIAAAAAAAAAANLW3vvcHgIA\nAAAAAAAAAOBbXoICAAAAAAAAAADSRFAAAAAAAAAAAECaCAoAAAAAAAAAAEgTQQEAAAAAAAAAAGki\nKAAAAAAAAAAAIE0EBQAAAAAAAAAApImgAAAAAAAAAACANBEUAAAAAAAAAACQJoICAAAAAAAAAADS\nRFAAAAAAAAAAAECaCAoAAAAAAAAAAEgTQQEAAAAAAAAAAGkiKAAAAAAAAAAAIE0EBQAAAAAAAAAA\npImgAAAAAAAAAACANBEUAAAAAAAAAACQJoICAAAAAAAAAADSRFAAAAAAAAAAAECaCAoAAAAAAAAA\nAKGK3TsAAAPASURBVEgTQQEAAAAAAAAAAGkiKAAAAAAAAAAAIE0EBQAAAAAAAAAApImgAAAAAAAA\nAACANBEUAAAAAAAAAACQJoICAAAAAAAAAADSRFAAAAAAAAAAAECaCAoAAAAAAAAAAEgTQQEAAAAA\nAAAAAGkiKAAAAAAAAAAAIE0EBQAAAAAAAAAApImgAAAAAAAAAACANBEUAAAAAAAAAACQJoICAAAA\nAAAAAADSRFAAAAAAAAAAAECaCAoAAAAAAAAAAEgTQQEAAAAAAAAAAGkiKAAAAAAAAAAAIE0EBQAA\nAAAAAAAApImgAAAAAAAAAACANBEUAAAAAAAAAACQJoICAAAAAAAAAADSRFAAAAAAAAAAAECaCAoA\nAAAAAAAAAEgTQQEAAAAAAAAAAGkiKAAAAAAAAAAAIE0EBQAAAAAAAAAApImgAAAAAAAAAACANBEU\nAAAAAAAAAACQJoICAAAAAAAAAADSRFAAAAAAAAAAAECaCAoAAAAAAAAAAEgTQQEAAAAAAAAAAGki\nKAAAAAAAAAAAIE0EBQAAAAAAAAAApImgAAAAAAAAAACANBEUAAAAAAAAAACQJoICAAAAAAAAAADS\nRFAAAAAAAAAAAECaCAoAAAAAAAAAAEgTQQEAAAAAAAAAAGkiKAAAAAAAAAAAIE0EBQAAAAAAAAAA\npImgAAAAAAAAAACANBEUAAAAAAAAAACQJoICAAAAAAAAAADSRFAAAAAAAAAAAECaCAoAAAAAAAAA\nAEgTQQEAAAAAAAAAAGkiKAAAAAAAAAAAIE0EBQAAAAAAAAAApImgAAAAAAAAAACANBEUAAAAAAAA\nAACQJoICAAAAAAAAAADSRFAAAAAAAAAAAECaCAoAAAAAAAAAAEgTQQEAAAAAAAAAAGkiKAAAAAAA\nAAAAIE0EBQAAAAAAAAAApImgAAAAAAAAAACANBEUAAAAAAAAAACQJoICAAAAAAAAAADSRFAAAAAA\nAAAAAECaCAoAAAAAAAAAAEgTQQEAAAAAAAAAAGkiKAAAAAAAAAAAIE0EBQAAAAAAAAAApImgAAAA\nAAAAAACANBEUAAAAAAAAAACQJoICAAAAAAAAAADSRFAAAAAAAAAAAECaCAoAAAAAAAAAAEgTQQEA\nAAAAAAAAAGkiKAAAAAAAAAAAIE0EBQAAAAAAAAAApImgAAAAAAAAAACANBEUAAAAAAAAAACQJoIC\nAAAAAAAAAADSRFAAAAAAAAAAAECaCAoAAAAAAAAAAEgTQQEAAAAAAAAAAGkiKAAAAAAAAAAAIO0N\no6mppyqM+7UAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x8f5d160>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 1, figsize=(8, 3))\n",
    "ax.imshow(np.vstack((y_test, y_predicted)),\n",
    "          interpolation='none', cmap='bone')\n",
    "ax.set_axis_off()\n",
    "ax.set_title(\"Actual and predicted survival outcomes \"\n",
    "             \"on the test set\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.78661088,  0.78991597,  0.78059072])"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ms.cross_val_score(logreg, X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'C': 0.042}"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "grid = ms.GridSearchCV(\n",
    "    logreg, {'C': np.logspace(-5, 5, 200)}, n_jobs=4)\n",
    "grid.fit(X_train, y_train)\n",
    "grid.best_params_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.77405858,  0.80672269,  0.78902954])"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ms.cross_val_score(grid.best_estimator_, X, y)"
   ]
  }
 ],
 "metadata": {},
 "nbformat": 4,
 "nbformat_minor": 2
}
